Note: DO NOT put out mouse bodies from the glue traps for carrion eaters!
If you must kill, the old fashioned traps are usually more humane. Get a good quality, stong one and it will usually break their back or neck. The glue traps are incredibly cruel, because they struggle until they can't keep their nose from dropping in the glue, and then they suffocate. Yuck. I had a little experience with the poison pellets, and watching a mouse die of the poisoning was pretty gruesome, too. 7am. Bathroom floor. Kinda ruined the whole day.
My Mom has 6 cats. She also has mice. The mice are VERY careful to stay in the walls and the attic, or outdoors!