Putting my gerbils in a smaller enclosure to treat mites?

Yesterday I discovered my poor babies have mites🥲 I just got back from the vet with mite spray so I'm about to go out to buy new bedding and toys that are easy to clean, but my enclosure is massive so I was wondering if it's a good idea to also buy a big clear box and put them in there until the mites are gone. I know it's stressful for them but it'll be a lot easier for me to monitor them and clean everything. Can anyone who has dealt with this before give me some tips on how to proceed?