I would be super dissapointed to learn that they figured out FTL travel and the ability to simply materialise food and all the other amazing technological feats but still hadn't automated cleaning yet. I godamn hate cleaning.
Do a daily transporter sweep for dead organic material all over the ship to purge all those skin cells and hairs and other leftovers of our existing. No more vac
100%. I have a nice cushy work from home desk job right now but I've also worked service jobs and manual labor jobs and I would absolutely jump at the chance for a job as janitorial staff on a starship exploring the galaxy for nothing more than accommodations and the amenities of replicators and holodecks aboard said starship exploring the galaxy. Space shitter clogged? I'm all over it for a chance to just be out there with my needs met.
Given that they have the ability to select pretty much whatever material they want with the transporters, I imagine it wouldn't be too hard for them to do a once a day transport for all dust/debris particles directly into space, or some containment unit of their choosing. Same goes for pretty much any other cleaning task.
It is mentioned in that one episode where they have a small village of “back to the land” type people staying in the cargo bay, along with their farm animals that they don’t have to keep sweeping up all the time, the bays will clean themselves. They just have to stop lighting cooking fires.
That actually makes me think, would it theoretically be possible to automate ship repair with transporter technology? All the time they have ships coming in with giant chunks missing.
If you are able to get a high resolution scan of the current state of the vessel, and have the plans to build it, couldn't they set up a specialized transporter to transport the damaged bits away, and transition area that is destroyed, and then replace it with new parts as needed?
Basically do some a similar repair method from Space Engineers, just fancier with transporters.