From what I've read and heard, cats are far less dangerous to babies than humans. People can easily infect newborns with all sorts of diseases so it's best not to let too many people near the baby in the first weeks and definitely not to let anyone with a cold or any young children near the babies (turns out children carry lots and lots of germs).
The only thing I would worry about with cats is possibly ringworm. If your cat is indoors only and does not come in contact with other cats she is probably not very exposed to ringworm. You or other people around you could bring home ringworm spores and infect either kitty or baby. You may want to have the cat checked for ringworm by the vet a week or so before delivery. We plan to do that with our cats.
My mother-in-law is frantic about our cats attacking the baby or lying next to him and suffocating him. One of our cats is quite aggressive to people (it's always their
) and people who know her think she's a killer cat. Totally untrue of course. If you know how to behave around her she's the sweetest angel!
Anyway, it's best not to let the cat next the baby unsupervised. Our cats love to sleep with us too, but we're beginning to have them spend nights outside the bedroom. I've read it's best to start the new routine long before the baby arrives so that the cats don't associate the forced exile with the baby.
Another thing I've read about is to let hubby take home some garment that the baby was wearing before you and and the baby come back from the hospital. Then he can let the cat sniff it and get used to the new smell before she actually sees the baby. It's supposed to help the cat adjust to the new arrival one sense at a time.
Maybe some experienced moms can share their experience here. All I know is still in theory
I'd love to hear some more as well.