The Kardashians

Khloe and True are on their own now with Tristan Thompson, because her fam just hopped on a private jet out of Cleveland.

Kris Jenner and her daughters -- Kim, Kourtney and Kendall -- were wheels up and bound for L.A. Tuesday afternoon. Kris has stayed in Cleveland since last week when Khloe gave birth, but the sisters flew back into Ohio yesterday.

As we reported, Khloe and Tristan's relationship is in ruins right now, and her plan is to bounce out of Cleveland as soon as she and True are medically cleared to make the flight back to Cali.

Khloe Kardashian and Tristan Thompson's relationship is in shambles ... despite an appearance Khloe created that her union is still tight.

Sources familiar with the situation tell TMZ ... Khloe has not spoken to Tristan for several days because she's still furious after finding out he repeatedly cheated on her, and embarrassed her in the process.

We're told while Khloe's recent post made it appear as if she and Tristan were solid -- unveiling the baby's name as "our little girl," True Thompson -- sources tell us it's just a facade and their relationship is hanging by a thread.

We're told Khloe is nowhere near forgiving Tristan ... and the same goes for the rest of the Klan, including Rob, who is raging at Tristan. For now ... Khloe's putting on a brave face for the sake of their daughter. Khloe's sisters are also livid.

Khloe and the baby are staying at Tristan's house in Cleveland for the time being, largely because all of the baby gear is in the nursery there. But, they haven't been alone since Khloe was released from the hospital. There is definitely a chill in the air.

Kris has been by Khloe's side since the birth, and Kim, Kourtney and Kendall flew to Cleveland on Monday to support their sister after she had an emotional breakdown. But things will soon change. We're told once Khloe's medically cleared to fly, she's getting the hell outta Dodge and bringing True back with her to L.A.

Aside from being the baby daddy, Tristan's status with Khloe is tenuous at best.

Khloe Kardashian just got some major family reinforcements on the ground again in Cleveland, 'cause her sisters just touched down to be by her side after a rough week.

Kim, Kendall and Kourtney were spotted stepping off their private jet in The Land Monday after a long Coachella weekend -- the same day Khloe announced the name of her and Tristan Thompson's newborn baby girl ... one True Thompson.

As you'll recall, Kim and Kourtney flew into Cleveland last Wednesday ahead of the birth ... but jetted back to L.A. a day later. Kris stuck around, though ... and now the whole fam (sans Kylie) seems to be reunited yet again amid a tumultuous time for the new parents.

Khloe Kardashian is following in her sisters' footsteps when it comes to unconventional baby names ... the name of her baby girl is True Thompson.

"Our little girl, True Thompson, has completely stolen our hearts and we are overwhelmed with LOVE," Khloe wrote.

"Such a blessing to welcome this angel into the family! Mommy and Daddy loooooove you True!"

It's interesting she used Thompson as the baby's last name -- which she didn't have to do. Also, the fact she says "our" in the post makes it seem like she's still in a relationship with Tristan ... despite all the cheating.

Our Kardashian sources say the name runs in the family. We're told True was the name of Kris' grandfather, Khloe's great grandfather.

Khloe also broke the details of True's birth stats today, weighing in at 6 lbs, 13 oz when she was born.

It's Khloe and Tristan Thompson's first kid together. Tristan has a son from a previous relationship.

TMZ broke the story ... Khloe gave birth early Thursday morning -- around 4 AM EDT -- at a hospital outside Cleveland. Kourtney, Kim, Kris and Khloe's BFF Malika were by her side during the birth. Tristan was also there.

The lead-up to Khloe giving birth has been rocky, to say the least. As we first reported ... Tristan cheated on Khloe back in October when she was only 3 months pregnant. He was caught on video making out and motorboating 2 women at a hookah lounge outside of D.C.

And just last week ... Tristan was seen taking a woman back to his NYC hotel.

Scott Disick picked up the parent baton this weekend to let his baby mama, Kourtney Kardashian, have some fun at Coachella ... but he wasn't pulling daddy duty alone.

Scott was spotted chaperoning his and Kourtney's three kids Saturday in Malibu, with girlfriend Sofia Richie following close behind. They were all hitting up a toy store there while Kourtney, her beau and her sis, Kylie, got their party on for Day 1 & 2 of the festival.

Obviously, Scott and Sofia are still going strong after they started hanging out last spring. They're coming up on a year now as a couple, and they seem to be as close as ever. Ditto for Kourtney and BF Younes Bendjima, actually.

Khloe Kardashian leads a busy lifestyle, so she's making sure her first child is equipped to be a baby-on-the-go as well ... TMZ has learned.

We're told in the week leading up to Khloe giving birth, she was stocking up on items for the baby, but panicked when she realized she was low on luggage and other travel items for her daughter.

Our sources say she loaded up with about 20 items from Bev Hills baby boutique Petit Tresor -- it's a fave stop for the Kardashians. We're told Khloe dropped just under $4,000 to get a BabyZen Yoyo Travel Stroller, a Medela Pump On-The-Go Station, and a Storksak Travel Diaper Bag ... to name a few gems off her list.

It's interesting -- at the time of her purchase, we're told Khloe was anticipating a lot of back and forth trips from L.A. to Cleveland to be with her boyfriend and baby daddy, Tristan Thompson.

Scott Disick might not be keeping up with the Kardashians as much these days, but he's keeping up with the rappers he hangs out with, and the proof is hanging around his neck.

The bling spells out "Disick" in bubble letters with 2,291 diamonds, weighing in at 33.87 carats. We're told lord D dropped $80k on the pendant alone, and another $170k on the white and yellow gold chain ... which has 66.56 carats of ice!

Scott hangs with rappers like Quavo and Future, and we're told they inspired him to link up with Icebox Diamonds & Watches in Atlanta to get his own custom piece.

We're told Scott was thrilled with the final product. He better be after spending quarter of a mil!

It looks like Kylie Jenner found a babysitter for the weekend, because she arrived with sis Kourtney Kardashian for the kickoff of Coachella ... and Travis Scott's there, too.

Kylie and Kourtney were spotted entering the festival grounds Friday with Kylie's friend, Jordyn Woods, and Kourtney's bf, Younes Bendjima, in tow. We're told they were headed to pick up their VIP passes.

Travis was also seen with Kylie at the group's van with a team of bodyguards as they showed up at Coachella. As we reported ... he and Kylie had a baby girl named Stormi in February.

The 3 ladies shared a shot of themselves hopping on a private jet earlier Friday to head to the festival.

Brooke Hogan says Khloe Kardashian and Tristan Thompson getting through TT's cheating scandal is gonna be hell on earth ... but NOT 'cause of Khloe's reality show!

Brooke is a huge reality TV star herself (she's starring in MTV's "The Challenge: Champs vs. Stars") -- so we asked Hulk's daughter if "Keeping Up with the Kardashians" reportedly airing out Khloe and Tristan's dirty laundry is a bad call.

Hogan told us the show might actually HELP by humanizing their situation ... and said a bigger issue is Thompson's jam-packed NBA playoff schedule.

"It's gonna be hell for Khloe ... a guy that travels is hard."

"My mom dealt with it, I've dealt with it ... it's definitely not easy especially after a cheating thing," Brooke told the guys on the "TMZ Sports" TV show (airs weeknights on FS1).

In other words -- with Tristan gone from Cleveland half the time, it ain't gonna be easy to make things right with KK.

Khloe Kardashian has a care package on the way that's perfect for a new mother ... especially one dealing with a cheating baby daddy.

TMZ has learned that Kim and Kourtney dropped thousands to rush a gift basket to Khloe after news broke Tristan Thompson cheated on her ... and shortly before she gave birth. We're told they ordered it Wednesday night and it's been sent to Cleveland to provide Khloe some added comfort.

Our sources say the gifts are being placed in a $5,000 Noitte Fatata custom bassinet from Bev Hills baby boutique Petit Tresor ... which the family loved when they previously visited.

We're told the care package includes a full arrangement of Erbaviva's organic Awaken, Embrace, Breathe and Relax bath and body products to pamper both mom and baby ... which cost about $1,000.

It also includes Little Giraffe Snow Leopard Print blankets, pillows, and a robe for Khloe and her new child ... for about $1,500 more.

Part of Khloe Kardashian's backup team is pulling outta town, now that she's successfully birthed her baby girl.

Kim and Kourtney Kardashian boarded their private jet Thursday afternoon in Cleveland, heading back to Los Angeles. The sisters, along with Kris Jenner and Khloe's pal, Malika Haqq all jetted to the expectant mom's side on Wednesday.

They weren't there just for the birth, but to support her through Tristan Thompson's cheating scandal. Despite the videos of him making out, motorboating and hanging at his hotel with multiple other women -- Tristan was in the delivery room.

Tristan Thompson's getting away from what's gotta be a very tense spot for him -- Khloe Kardashian's hospital room, hours after she gave birth to their baby girl.

The Cleveland Cavaliers star slipped out of the hospital a little less than 12 hours after the arrival of his and Khloe's first child together. Hard to miss 6'9" Tristan ... who, as TMZ reported, was in the delivery room early Thursday morning.

As we told you, Tristan was surrounded by Khloe's sisters -- Kim and Kourtney -- as well as Kris Jenner and Malika Haqq during the birth. We know the family's pissed about those videos of him with other women -- last weekend in NYC, and also 6 months ago in Washington, DC -- so y'know Tristan was feeling the heat.

Kinda the ultimate good news/bad news situation.

Khloe Kardashian has given birth to her first kid ... TMZ has learned.

Khloe delivered a baby girl early Thursday morning -- around 4 AM EDT -- at a hospital outside Cleveland ... according to our Kardashian sources. We're told the little girl does not have a name yet. Kourtney, Kim, Kris and Khloe's BFF Malika were by her side during the birth. Tristan Thompson was also there.

This is Khloe and the Cavaliers star's first baby together, but, of course, it comes smack in the middle of a tumultuous time for the couple.

TMZ broke the story ... Tristan cheated on Khloe back in October when she was only 3 months pregnant. As we reported, he was caught on video making out and motorboating 2 women at a hookah lounge outside of Washington, D.C. And just 5 days ago, he was seen taking a woman back to his NYC hotel.

Khloe revealed the sex of the baby on the season finale of 'KUWTK.' The baby shower was pretty baller, and her baby registry was no joke, too.

TMZ broke the story ... Khloe got pregnant not long after her sisters, Kylie and Kim (via surrogate).

We were told Khloe conceived naturally. She and Tristan have been dating for well over a year, but their current relationship status is murky, to say the least.

Khloe Kardashian won't let Tristan Thompson's cheating ways deny him of the opportunity to witness the birth of his daughter ... TMZ has learned.

Sources familiar with the situation tell us Khloe's devastated by the recent revelations, but understands the importance of the birth in the lives of everyone involved. We're told Khloe doesn't want her personal feelings to ruin one of the most important moments in a person's life ... the birth of a child.

We're told Khloe's putting her feelings on hold, realizing for better or worse Tristan is the father of their child and knowing a bond between father and child can be cemented in the delivery room.

What we don't know ... if Tristan is game to participate or if any new allegations or actions may surface to sway Khloe's opinion.

TMZ broke the story ... Khloe started having early contractions Wednesday just hours after videos surfaced of Tristan hooking up with other women.

As we reported, Kris flew to Cleveland early Wednesday morning to support Khloe, and Kim and other family and friends plan to be there by Friday.

Khloe Kardashian is having early contractions and her family is jetting to Cleveland to be by her side and lend support in the wake of the Tristan Thompson cheating scandal ... TMZ has learned.

We're told the contractions just started and, although there's no way to know, it may not be a coincidence it happened just hours after videos surfaced of Tristan hooking up with other women. We're told her due date is late April, but it looks like the baby is coming soon.

Our sources say Kris Jenner flew out Wednesday morning and Kim, along with other family members and friends are scheduled to fly out Thursday and Friday.

We're told the family is extremely upset over the revelations about Tristan ... they say they were in the dark until Tuesday.

As for Tristan ... he has a game tonight in Cleveland, on the heels of his team's NYC trip ... which included his apparent rendezvous with a side chick. As we first reported, he was also with 2 other women last Fall in a D.C. area club.

8:40 AM PT -- Multiple reports say the woman in NYC with Tristan is an IG model named Lani Blair. As for Ms. Stephaniee ... it appears she might have no involvement, and was merely trolling Tristan and Khloe.

A woman claiming she spent the night with Tristan Thompson in NYC this weekend posted and quickly deleted a sex tape and a number of raunchy text messages allegedly with the NBA All-Star.

The woman -- who goes by @ms.stephaniee_ on Instagram -- claims she's the one who was seen in a video Saturday night walking into the Manhattan Four Seasons with Tristan. Tuesday night she filled her IG story alleged texts from Tristan and a video of a couple having sex ... which she claims is her and Tristan. Neither of their faces is visible in the short clip.

One of the alleged texts from Tristan read, "If I was there I would grab u while u try to walk away from me than I would pull ya hair and kiss you than rip ya clothes off and lay u down while I suck ya p**** and say sorry."

TMZ broke the story ... Thompson was seen making out, touching and motorboating two women back in October at a hookah lounge in the Washington D.C. area.