I had an unneutered male cat while I was pregnant. We'd gotten him three years prior to the pregnancy, he spent two years inside and became an outdoor cat about one month before I found out I was pregnant.
My ex said the cat was female when we got him so I named him Nancy Drew. It was too late to change his name when we discovered Nancy had knockers so he remained Nancy.
During my pregnancy, Nancy would come in for about an hour each evening and sit next to me. He'd lean his head unto my lower abdomen, listen to Connor moving around inside, begin purring and fall asleep. He was very protective and wouldn't let the ex come near me, Nancy even spat on him a few times.
I never handled kitty litter whilst pregnant and he was always up to date per immunizations.
I was cautious about contact with Connor and the cat when we came home from the hospital. Nancy was mad/jealous because I'd been gone for a month and brought a new person home. I let him smell her clothes and gave him a receiving blanket to lay on. He didn't get close to her until she was nearly one year old but was protective of her too.