Kara, as far as restaurants in the quarter, I would definately recommend
Murials. It is right next to the cabildo which is next to the Cathedral. Great food. Another is
GW Finns for seafood.
Breakfast at Brennans is also a real treat and of course there is the EXTREMELY fine dining places for dinner like Antoines and Galatours. For fun/dancing Mulattes is great (cajun dancing although New Orleans is NOT a cajun city...Mulattes originated in Lafayette. but if you go there, do NOT get the food...it is horrid...eat before hand) Another great place for jazz is Donna's. (ok, it's another ancestor's house!) The two ancestors I mentioned before had a "relationship"...nuff said. I'll tell you the whole story if you visit either house...tres New Orleans.
Karla, maybe it's a good thing you didn't go on that cemetery tour...they can be dangerous. The only day they are REALLY safe to visit is feast of all saints day when they are crawling with police. The ones closest to the quarter are in not so safe neighborhoods. Kara, if you want to see a cemetery that is safe, you will have to go down Canal street to Greenwood . You will be safe in the quarter, just do not venture outside of the quarter on foot. (and don't go strolling around at night on streets that don't have people on them) Don't want to scare you, but some of the "bad" neighborhoods are surrounding the quarter. Tourists rarely have any problems if they stay where the "crowds" are...just like any other big city. You just don't want to wander into a neighborhood that has drug problems where bad things happen.
Oh, and if someone comes up to you and says "I'll be you 10 dollars I know where you got them shoes"...roll you eyes and walk away. It's a little trick idiots play on tourists. You will find MOST locals very helpful and gracious and we LOVE having company.