If I see the staff walking around and refilling water glasses by picking them up, I get suspicious (and stop drinking from my glass if I can't stop them in time). From germ-laden glass, to the next, to the next--yuck! Makes me wonder if they wash their hands after picking up used plates, etc.
I also hate places where there are bottled condiments on the table! I never touch the salt and pepper, so at least that's not an issue.