I have 3 cats that just love to bring me prizes every morning.
Nothing you can do about it.. really.
The ones they bring and not injured I take away and set them free. Remains are for the yard to fertilize. They have the a habbit of leaving them on my black floormat in front of the french doors. Ever step on mouse guts with your bare feet ?
I think the worst thing is hearting the chipmunks or babyrabbits squeal.Cant stand that.
Also.. if they eat any rodents , birds etc.. they will have worms. Most , if not all of them carry parasites , cats digest rodents and ingest eggs ,larva etc.. If the rodents just have one flea.. fleas carry parasites also. You cant totaly avoid them having worms but keeping the worms to a minimum is worth the money
Short story..
Years ago we lived in a rented older house while we build the new one.
In our bedroom we had a waterbed with drawers underneath it.I stored all my lines, bedding etc in those.
One day I noticed an odd smell in the bedroom.I thought , well the house is old ( 60`s) and we had a leaky roof where the ceiling was beeing replaced as it leaked into the bedroom. So I thought it was that.
After a few days it got really bad. I followed the smell and noticed it beeing stronger under the bed.
I made my husabnd crawl under the bed and ewwwh.,.. The cat had brought in a rabbit, ate half of it and the rest was rotting in one of the drawers.Full of maggots and stuff.
Bed went out that same day. carpet cleaned and I slept on the couch for a few weeks until we got new bedroom suite.
It was horrid.