My cat, Kiti, gave birth to five kittens under my mom's bed. It's been a couple week's since they where born, Easter Sunday. Their eyes are open and they have just started trying to walk. I want to know if it's ok to move the kittens to a safe location, without Kiti trying to put them back under the bed? Would a crate be ok to put her and the kittens in? not a wooden box kind of crate but like a small dog or cat crate.