MICE! HELP!

grr... so we live in the county surounded by farm land, which means plenty of grubs, which means plenty of mice and voles which unfortunatly means mice in our house, argh... I know when you live in the country mice are one of those facts of life... but I don't like it. I've been cleaning like crazy trying to stamp out any possible food source, we are sealing up the foundation wall to try and keep any more from getting in or at least reducing the possibility (I know it's a long shot) my cats (oh how I love them) have killed 3 and we've caught one. I think it started as one pregnant mom because the one we caught a in may was a baby but the three my cats have caught in the last month or so were bigger, and we didn't really see any more after catching the baby in may until late june. I've been keeping the mouser cat we have inside more or less all the time lately, I feel sorta bad that he can't go out and roam like normal, but he just goes and catches the mice/voles in the fields, and I'd rather he catches the ones in the house. Also, I'm reasonably sure their nest is in the top of or behind the stove (I think I can hear them squeaking sometimes back there and my cats will sit at the stove for hours with their tales going just intent as all get out), but neither I nor Trevor have any clue what to do about it? Is a stove like other appliances? Can we just unscrew it and pull it out then put it back in? We are all electric so there's not any gas or pilote light to worry about. I'm not cool with poisons of other pesticides to kill them in the house (or around it) because I have a toddler and pets. Anyone have any advice? Thanks in advance