Glen 'Big Baby' Davis -- CHICK MAGNET ... Swarmed By Babes, Takes a Few Home

Glen "Big Baby" Davis is adjusting pretty well to life in L.A. ... crushing it on the court -- and also at the nightclubs ... and TMZ Sports has the video proof.

We spotted Davis leaving DBA nightclub last night ... with (at least) THREE hot chicks in tow.

After they got in his waiting SUV, a bunch of other chicks flocked to Glen's ride ... like skeezer moths to a rich and famous flame.

Aside from chick wranglin', Davis also talked basketball -- telling us his L.A. Clipppers are gonna win the NBA championship.