Advice? Cat is destroying the babies things

My cat (her name, appropriately, is LucyFur) somehow manages to get ahold of every pacifier and bottle and tear off the nipples. We do our best to cap the bottles between burping and feedings. And we have the “Keep-it-clean” pacifiers that close when dropped. Don’t even ask me how. I still find at least one bottle or pacifier destroyed every day. Any advice on how to stop her? I try to keep her out of the babies room but she is small, quick and follows us everywhere. I’ve never caught her in the act so water wouldn’t help. She has lots of toys...