$350 sounds like a lot to install a ceiling fan - unless you're totally unfamiliar with basic wiring or you couldn't handle being up on a 16' ladder, I'd say you could do it yourself. You could buy a nice fan at HD for $100-150, buy a nice ladder if you need one, and still come out significantly ahead of the quoted price. I've installed 2 ceiling fans in bedrooms, with maybe 8' ceilings, and they were not difficult jobs, even for a novice diy-er. I think the most important thing is supporting it well - it should be attached directly to a joist or otherwise very securely attached to the ceiling. The fan should come with an instruction manual and hardware, probably with a couple options for attaching to the ceiling, and a couple lengths of down-tube for say
4" and 8" from the ceiling. If it's a vaulted ceiling you'll need to get a longer tube separately. Hope this helps, Andy