Britney and K-Fed Got Along Swell

Sources tell TMZ there's good news in Britney Spears' world!!! Seriously.

We're told yesterday's co-parenting meeting with K-Fed went "amazingly well." Brit and Kevin met for two hours with Al Gibbs, the counselor, at the Beverly Hills Hotel. Of course, that's where divorced parents learn how to handle their kids -- and besides, Brit was able to gas up her car courtesy of the valet for $4.50 a gallon.

And get this -- one connected source says one of the reasons it went so well is because Britney liked being around K-Fed!