Leave these boxes for breeding use only. However, most 'mouse' cages are tiny, and would not provide a suitable permanent home. Many cages sold for hamsters or birds can make good mouse homes, and they can often be bought cheaply secondhand. A photo of an example can be seen below. If an adult human can get a finger through the wire, a young mouse can get out.
Single mice are more prone to try to escape than mice which live in groups.
Sometimes a mouse may try to squeeze through the bars, get stuck halfway and hurt itself. You cannot rely on mice having the sense to stay away from the bars when other animals are about. If any levels in the cage have wire floors or ladders, they will be corroded by mouse urine and your shiny new cage will be dingy and hard to get clean within a year. Scrubbing the floors with wire wool helps. Alternatively, you can cover wire floors with linoleum ,cardboard, or similar, and simply remove the floor covering to clean or throw away.