Just use one of those humane traps. It's a tube with a kink in it, when the mouse runs in, the trap rocks back and the door closes. Then you can just take it outside and hop into it with a hammer.
The old-fashioned killer traps baited with bits of Snickers. Make sure you put them on a hair-trigger and put a few out. It needs catching quick though, in case it's a pregnant female, in which case one mouse could become 10 very quickly
Bucket of water, bit of wood, heavily salted bait. The mouse eats the bait, needs to drink, goes up the bit of wood to drink from the bucket, falls in, drowns. Sorted. Copyright (c) Gambol 2012
This Caught a few in my house over the years...mars bars we used, but snickers etc are good, anything that is sweet and won't come of the trap
Apart from the fact that you are wholly reliant on the mouse being arsed to walk up a piece of wood to drink from some water that it would never drink in the first place and even if it did it might just go and find a puddle instead of hiking all the way up there so you might as well just poison the bait rather than assuming that the salt will make the mouse thirsty enough to do something that it would never ever do ever. And breathe.
We had quite a few at one point, it all started with one pregnant little ****er getting in. Most of them were clean kills, but one of them got trapped by the leg and was squealing extremely loudly, poor little ****er. Had to finish it off. For the record, I'm not a bloodthirsty animal-murderer, I did try the humane ones but in my experience, they were ****. Every morning I'd come downstairs to see the bait gone but no captured mouse