Yes, the Hanta virus. Normally only found in the southwest, it is slowly spreading to other areas.
I've always used just regular mousetraps, and neither of my two have ever tried to eat the bait off the traps.
If you're concerned about that.......... put a trap in the bin with the food. The mice can get in, but not the dogs. Or if you can find out where they are getting in the house, set a trap there. We've had them come in thru the stove and from behind the kitchen sink. I almost always have traps set in the garage, although I haven't caught anything in awhile. We live right on the edge of a housing development, so we get mice off and on al year.