I keep mine in 16qt tubs floor dimentions 18"x11" and about 7" high. but that only houses 3-4 adult mice comfortably or 2 adults and a litter. My grow out tubs are 30qt. they've got double the floor space but are the same height. Be sure the tubs are smooth on the inside so there's no place for the mice to chew.
Yes with lids, use a soldering iron or hot glue gun (without glue) to melt air holes and a hole for the water bottle. You can also drill holes just be careful not to crack the plastic.
People also use rodent racks, which is a shelving unit where I tubs slide in and out without lids. Search "rodent rack" or "rat rack" in one of the feeder forums if you want to see those.
But one or two tubs and 3-4 mice should cover your needs, racks are for people who need lots and lots of rodents.