Kim and Kanye takes Baby Saint West out

Saint West made his public debut, of sorts, heading out with mom, dad and his big sis to the doctor's office in L.A. on Thursday.

Kanye West and Kim Kardashian took Saint for a checkup, few days after he was born. 

North was not left out. Mom carried her, while Kanye -- covered in a hoodie -- lugged his son ... also covered, in his car seat.

The whole family was looking healthy and happy, and check out the heels on Kim. Damn!

That's a quick bounce back.