Since traps have been mentioned, I have two friends that have had great success with the Victor electric mouse traps (the electricity kills them quickly). Best thing is they re-use easily and all you do to get the mouse out is open the lid and turn it over the trash can. I thankfully don't know anyone who has used the rat trap, however. The mouse units are just under $20 and the rat units are more, I don't remember, around $30-something at HD & Lowes, batteries not included.
One thing about the sticky traps, aside from needing a never ending supply is that the buggers don't die anything near a quick death and if you don't catch all four feet, they can easily get to some place that you can't get to easily (like inside the wall) and then stink to high heaven. I'm just sayin'....