Pauly D He Can't Hide His Love for Amabella

12/11/2013 6:50 AM PST

Parenthood has clearly not cramped Pauly D's style .... he happily strolled out of Bootsy Bellows nightclub in West Hollywood late last night ... but there's no doubt -- being a father is front and center in his brain.

Check out the video ... it's not so much what Pauly says -- we know he's fighting for full custody and it's nasty -- but you can see and hear how much he loves his kid. 

It's pretty rare when celebs come off so real and unfiltered.