Kim Kardashian & Kanye West -- Out to Lunch

Kim Kardashian and Kanye West just wrapped up date #2 in NYC -- eating lunch at the swanky Serafina restaurant on the UES ... and it caused MAYHEM in the streets.

The pair just left the restaurant in a flash -- hopping straight into an idling car -- and they were swarmed by the biggest army of photographers we've seen in a long time.

The car then sped off -- taking the couple to the legendary toy store FAO Schwarz.

K & K have been romantically linked for years -- but TMZ broke the story this morning ... the pair is finally taking a stab at a public relationship, hitting up the movies last night for a real date.

Kim's worth an estimated $35 million ... Kanye an estimated $80 million -- so when a couple like that grabs lunch ... who pays?