We have traps here that are like a wire box, with a hole in the top, that the mouse can get into but cant get out...
We had mice last year, and we caught them this way....we caught the whole family over a couple of days, then relocated them a few miles from our place, in a sports oval.
They wont hurt you David, but they can cause damage to your wiring, and other things....one time our airconditioner stopped working, and when the technician came, and opened up the wall unit of he A/c, he found mice droppings in there, and told us that just a little bit of mouse urine on the computer board in the A/c, made it unable to work......cost us $400 for new board.....they can also chew electrical wiring, so best to get rid of them, but there are humane ways of doing it.