I have 55-ish mice in my semi-heated garage so I can offer a bit of advice. Totes will keep the mice warmer than wire cages to begin with, and mice don't need temperatures over 60. I have a heater running full time but it gets very cold here so sometimes the temperature in the garage dips as low as 50. The mice don't mind at all but they are less active at that temperature. As already mentioned they will build nests and keep warm. My mice seem to prefer newspaper to rip up and build nests with. You can also provide igloo-shaped plastic hides or just small cardboard boxes with a hole cut in and they will fill them up with newspaper shreds. The box from 12 cans of Fancy Feast works well. Poor mice, good thing they can't read.
Mice CAN chew their way out of a plastic tote if they find a hole within reach. We learned the hard way about putting anything tall in the tote - they chewed out the lid. Also, only make ventilation holes in the lid, and not where they can reach them if they climb up the water bottle.
Even though totes are warmer they are also damper than wire cages and have to be cleaned more often. I use both.
My last thought is that you might not love the smell of mice in the house even if you keep them clean. The smell of the males' urine is powerful! That's why mine are in the garage.