Cats do have that fascination for toddlers. But you're going to have to teach your daughter anyhow. You'll need to keep the cats separate from her when you can't be right there watching. Happily, kitties don't mind taking naps in a closed room as long as there's water, a litter box, and something around for them to get into - preferably something that they shouldn't.
This is one reason, incidentally, why some shelters will not adopt out baby kittens or pups to families with very small children.
Clare Turlay Newberry, a children's author of several decades ago, had a book called THE KITTENS' ABC (I recommend it because the illustrations are wonderful!), and one of the rhymes says, "Be gentle with a pussy cat - do not grab, but softly pat." I taught my children with this little rhyme. If your cat-loving girl can't mind you on this, there needs to be some sort of time out.
You see, if she inadvertently terrorizes your new kittens, they may assume that all children - or all strangers - will treat them badly, and then you have a worse problem! (This is aside from the reality that the kittens could be badly injured, and/or so could your daughter.)
When you are with your daughter, if a kitty gets in your lap, show her how to love the cat properly, and talk about how we MUST be gentle to animals. Maybe if she had a stuffed toy kitty of her own, it would help as well. She can squeeze a stuffed kitty all she wants and it won't mind a bit.