I had my first skin kid nearly 5 months ago and brought her home to her 3 kitty sisters and we've had no issues at all. Anytime we caught the kitties (there was only 1 really) in Mimi's crib or basinette, we immediately shooed them out. They never went in the crib or basinette while Mimi was in there. We also kept extra blankets in the crib/basinette that we would remove before putting Mimi in there to minimize cat hair.

We were prepared to put a replace the nursery's solid door with a screen door if we had issues keeping kitties out of the crib while Mimi was in there. We haven't had to do that.

Now Mimi is big enough that if a kitty comes to close, they lose a fistful of fur.