I had the cradle set up in the babies room with a mossie net over the top of it from about the time I was 5 months pregnant. My 1 year old cat Lucy, (who was my baby), never tried to jump in the cot while the net was on, but if that net came off.........it was a different story, so they net stayed on all the time. I also used to chase her out every time she went into the baby's room. By the time my son came along, she new she were she was and wasn't allowed, and now doesn't even venture near his room. I was a concerned night though when he was first born, so Lucy used to get locked away in the laundry for the night, until my son went into his own room, where his door gets shut when he is asleep. I can still hear him because I have a monitor. He is now 9.5 months old, and it's the cats turn to be afraid. Brady now tries to "pat" Lucy, but he is a little to rough, and she runs away. Brady thinks it's a great game to chase the cat!! Good luck with your new baby, and your cats.
Mother of 3, Qld