This is probably stating the obvious by rattay
I recommend a backpack instead of luggage with wheels (assuming you don't have back problems) because many places that are not high end have stairs but no elevator. The apartment I stayed in was on the 4th floor and there was no elevator. Also, for women, I recommend a purse that zips on the top or has a buckle closure and that is carried under the upper arm. It certainly made me feel like less of a pickpocket target.Comfortable walking shoes (in the summer - cool, comfortable walking shoes). Tank tops are ok as long as you bring some sort of cover up for going in churches - bare shoulders and knees are not allowed in most (this is true at St. Peter's). And no one wants to wear those napkin things they give you if you don't have a cover up. When I got there, I bought one of those large, cheesy tourist scarves that has pictures of famous fountians on it and just carried it with me. when I got to a church I just tied it around my shoulders. it was small and lightweight and now I have a memento from my trip that I actually used (even if it is kitsch).Deodorant! (ha ha)