You might want to post a little more detail about your price and cuisine peferences. Also, when you say "sty in the FQ", do you mean eat only in restaurants in the FQ, or do you mean stay in a hotel in the FQ? If you are open to eating outside the FQ, will you have a car? Are you willing to use the streetcar? All these things will help people give you useful information, as the number of restaurants in NO is huge.
You might also want to do a search, as there is a ton of exsting information on this board, for example: