Having a baby with 4 cats

Amarin

Anyone have this many cats or animals ? I’ve had them forever and I do not wanna re home them, would only do that if the baby has a reaction to the cats but what are your thoughts on cats around babies ? Should I keep them away from baby as much as possible or should I have them around baby, they shed a lot and I’m just worried about all the cat hair like if the baby eats it will it cause issues or like cat hair getting wrapped around something :/