I really enjoyed my stay with Jennifer, Ryan, and Tucci(sp?), the one-eyed cat. They are good people and generous hosts.
Their clean and comfortable home is on a quiet residential block in a hip neighborhood with good restaurants, bars with live music, and a speakeasy just around the corner. The Marigny/Bywater area is perfect if you prefer local NOLA flavor over the Quarter's tourist mobs, although the Quarter is just a quick bike, bus, or Uber ride away if you want to spend time there too.
Jennifer and Ryan were spot on with insider recommendations that I doubt I'd have discovered on my own. Their loaner bike cinched my decision to stay there and it allowed me to explore NOLA's neighborhoods. So great!
J & R are outstanding hosts. I highly recommend staying with them.