What are the most important factors when considering graduate school in chemistry? I'm considering applying to chemistry graduate schools within the next six months and am hoping for some guidance in prioritizing aspects.  For instance, among my list of considerations there exists: renown of school, programs of interest, appeal of location, amount of financial aid, duration of program, and success of past alumni. 

Do others who have already gone through this process have suggestions about how to prioritize these considerations?  Were there things in your experience that you thought would be important and ended up not being so.  Or visa-versa, are there aspects that you neglected and wish you hadn't?
As a second year grad student in chemistry, I would say the two most important factors are if there are multiple professors you could see yourself working for and if you feel like you could spend the next 5+ years of your life at the school/in the area. You are going to be stressed out with work, so you want to enjoy where you're living.

I haven't heard of any US chemistry PhD grad programs that don't pay tuition + insurance + stipend, so I don't think that's much of a worry (I would, however, make sure you get all that).

The renown of the school and success of past alumni is actually less important than you'd think. Grad school is all about your research advisor and your research (i.e. a better professor at a lower tier school is better than the other way around).