My cat years ago used to catch shrews, they are cute aren’t they. As for rats in bedrooms yuk, that would be it for me no cats coming in & out at night. My late mother’s 2(yes I’ve still got them, & would still like to rehome them 2 years on, do you want any more?) get shut in the utility room after dinner when they get their meat meal & that’s it til the next day, so anything they might bring in is seen off before the door gets opened again.
Update 1 of those 2 left a present on the doormat in the utility room this morning.....the contents of their stomach!