We had a great time at Lanaux Mansion. It's spacious, comfortable and amazingly well kept for a place that has so much history. It's within walkable distance of everything you may need. There are a couple grocery stores pretty close and it's only one block from Frenchmen St which is lovely, full of pubs which serve great food and live music. It's not too far from Cafè du Monde either (about a 10/15 min walk).
We definitely recommend it!