We had a wonderful time in New Orleans and staying in the Bywater neighborhood at Nathalie's apartment was the perfect location to discover the city. It was walking distance from the French quarter (daytime, 30 min) and close to buses (#5, although highly unreliable during Mardi Gras time).
The home had everything you need for a comfortable stay (huge king bed! a nice bathtub), was clean and welcoming, and Nathalie was very responsive. There is also charming and comfortable patio!
The Bywater area is really enjoyable, colorful, has good restaurants (Oxalis, Elizabeth' s, Booty's) and one awesome coffee place (Satsuma). It also feels safe and friendly.