Your DD is in for a treat!
It can be good to keep a new kitten/cat in one room for a week or so to settle in...I tried this with my cat when I first got her but she got so lonely! So she ended up in with me. She was about 10 weeks then & completely fine, kittens are very self-aware & avoid getting squished. If you dont want them to wake you up in the morning, just feed them their main meal at dinner time - this is what we do with some dry food accessible throughout the day.
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