There's no need to build new, expensive buildings to house them. Museums already exist that can take them. They don't necessarily need to be well lit though. Turning most of the lights off and having barely legible text seems to be in vogue in certain museum exhibitions.
Many people are willing to work in museums, like the one I was at which was an entirely volunteer run organisation. So it being properly staffed wouldn't be an issue.
Apparently there were 1,600 museums in England alone, in 2011. So museums are obviously quite popular. Although that list may shrink due to the lockdown because many of them will rely on regular visitors and donations to survive.
https://en.wikipedia.org/wiki/List_of_museums_in_England