I had problems, an occasionally still do, with mice in the garage. They made their homes in the air box on the 3 wheeler, in the exhaust of the motorcycle, in boxes on the floor and on shelves they were able to climb up to.
I found they dont like playing with the traditional spring traps but the glue strip type traps work wonders. (they also work well with annoying insects as well. My local nursery sells the larger sized rat traps, about 4"x8". They come 2 to a pack and you just peel off the top and place them on the floor. When the touch the peanut butter scented glue they are done. If you want to set them free the instructions say you can use a bit of vegitable oil to get them loose. I found a hammer on the noggin is quicker and prevents the problem from returning.