Having a world without money may not be feasible in real life but it works really well for a television show. Seriously, libertarians preach worse than Roddenberry, and think they're twice as smart. (And I consider myself one).
I would imagine the people who do the crappy work are the people who haven't proven themselves yet. Just because there's no money doesn't mean there's no competition for the best positions.
You want to be an architect, you take a crappy entry job at an architecture firm and do the work nobody else wants to do for a while, then when you prove yourself you take on better work.
Plus based on what we've seen of Earth life, people are willing to clean up after themselves. None of that privileged aversion to picking up a broom.