Mice would be fine if they were a little more dignified and didn't shit everywhere.
About 20 years ago, kids aged about 5 and 7, the four of us were in the living room watching some Christmas show on TV. Height of winter, so the annual incursion was well under way, consequently a mousetrap behind the Christmas tree, a lethal one, or so we thought. Visible only to me, a little mouse made tentative excursions, uncertainly approaching the bait, retreating, approaching again. I said nothing because I knew they'd freak out and we'd be left with our mouse squatter. Mouse kept going until, eventually, he tripped the trap. The mouse, tentative as he was, only trapped his hind foot on the trap, so was bouncing around trying to get free, the trap slapping up and down with him, shock to my wife and kids and all 3 ran screaming out to the kitchen. I picked mouse up by the trap and headed to the front door when my son, still screaming, ran from the kitchen, paused to say "don't kill him" and ran back screaming to the kitchen. Mousey got released into the hedgerow across the road and seemed none the worse making his escape.
The trick, in my opinion, is to refer to them all as shrews and you'll never have a mouse problem again.