we cosleep & have 2 cats...my guy had always slept right up on me when it was just he & i all those years before kids, so having them was hard on him.
lately, he has been curling up in the middle of my back or at my head. he often tries to curl up next to dd2 but i stop him-not because i worry he would hurt her-only because of cat hair & possible allergies.
dh's female, younger cat had given up sleeping with us when dd1 was born & sleeps on top of the cable box & dresser "glaring" at us as we like to say.

once dd1 could walk-both cats have stayed clear of her-lol. she tries so hard to get them to like her & for a second, she'll be petting one & they will relax, but then she does something loud, moves quick or pulls a tail & they take off.
we were worried about the cats & babies but honestly...they just wanted to sniff them to check them out mostly. my male is a cuddler so if the baby would let him cuddle up, he would. but neither cat has ever showed any sign of aggression, scratching etc.
my mother's kitten on the other hand...oh boy. she got a kitten 6 mos ago & the kids were so excited. but before long, the kitten got to that "fiesty" stage & was scratching the heck out of all of them. but i really think that's more about the stage/age & that once they grow out of that, cats are very gentle with babies.