If you have cats and therefore cannot use antifreeze, you can use the bucket empty. You could also use pink RV antifreeze, I don't think things are tempted to drink that, and its not toxic, you can run it in your waterlines in RV's.
You could also get one of these, I've used them before.
The trap works by having a pedal in the middle and a paddle with 4 arms, the mice walk through the pedal and the paddle spins 1/4 turn putting the mouse into the back of the unit. It works off a coil spring, so if you wind it fully the trap will just keep catching mice. In that form it doesn't kill them, so you have a bunch of live mice trapped in there. And you'd have to check it from time to time, and do something to deal with all the trapped mice.
I always thought it'd be nice to take a 5 gallon bucket with antifreeze, and a lit, and take one of these repeating traps, cut the bottom out of the trap portion, and cut a hole into the bucket so that mice would be thrown into the antifreeze by the trap portion, and then you'd not need to check it very frequently.