Would there be any menial jobs in Star Trek? Food prep and cleaning are all taken care of by robots. It's reasonable to assume that even minor surgery can be performed by robots or anyone who can point a medical tool at a burn or cut, i.e. you could do it yourself. It seems like the majority of jobs would be entirely voluntary, done by people wanting to better themselves. We see people doing things like peeling potatoes, but only because they want to do it in the same way some people today use traditional crafting and cooking methods that are labour intensive simply for the joy of using them.
Star Fleet is a bit different, because you basically buy in to the military structure where rank is rewarded, but it's voluntary. It's not like a job where if you quit you have a serious problem and need to find another or be out on the street. Crew sign up to be part of something, which is the line that many modern militaries use for recruitment since the wages and benefits are generally crap. Learn a skill, do something exciting.
Space isn't a big problem on earth in Star Trek, as the population has fallen massively and there are many other desirable worlds to live on. It's likely that world culture has homogenised with the development of transporters and the universal translator, and if you want a nice view just tell the computer to change the holographic projection outside your window. Anyway, why would you want a big house? The only possessions you want to keep are ones with sentimental value, everything else comes out of a replicator and goes back in when you are finished. Holodecks are probably pretty common too. Your job would basically be your hobby. No-one seems to have a TV even, and family crew quarters on ships don't seem to have many internal doors even to bedrooms.