Mice in our house - yuck!

We have found 3 dead mice in our house since August, and two of those have been within the last week. There must be more, because we are finding droppings under the sink. When they die, the scent they produce is disgusting, and we know right away there is a dead one we gotta find quickly. It's time to declare war on these little devils. Tonight I'm heading to Home Depot to get traps and we'll root them out one by one. If you have any good strategies to get rid of mice, please let us know. Wish us luck!