Welcome back! I sincerely hope you enjoy your visit.
I think you'll be fine if you just use the same amount of caution as you would have before the storm, or maybe a tiny bit more. The areas you are talking about are probably the least damaged in the entire metro area.
I have no problems walking around the Garden District or Uptown along St. Charles and Magazine alone to shop, during daylight hours. Same with the FQ. I am a 59 year old grey haired woman so if anybody was going to have trouble, it would probably be me!
I wouldn't walk around at night by myself, but that is just me. Never did, even before the storm.
Keep your eyes open; you probably have a good idea of what to look for that might indicate trouble, and if you have any doubts then be cautious. Do remember that crime and especially murders are up, so lock your doors at night and use your street sense during the day.