Definitely, Lakefront - great airport. Don't rent a car, you won't need one.
Opinions vary on where to stay, but my wife and I always come back to the Omni Royal Orleans - it's in the Quarter, well-situated to see everything, but very quiet in your room. Service is impeccable.
Also, there's the Roosevelt. Thought we'd lost this grand old gem from all the underground damage done when the dikes broke, but it's back. Stunning, beautiful. Have a drink in the Sazarac bar and imagine it's 1936.
And speaking of service, New Orleans is a city that has not forgotten service.
Try Galatoire's. Mr. B's Bistro. Commander's Palace.
Make reservations weeks in advance.
Such a place, you have me wanting to go back now.