I had a young cat at the time my daughter was born, The cat pretty much left her alone, by the time my daughter moved from the craddle to the crib (about 3 months old). My cat would jump into the crib when it was bed time for the baby. She bacame my daughters bedtime cuddle buddy.

Of course this freaked my mother out when she would visit, all the old wives tales and all.

Just keep an eye out in the beginnig, the kitten will probably want nothing to do with the baby