We just returned from New Orleans a week ago. Both the wife and I are natives of the area and visit family still residing there.
We usually stay at Bayou Segnette State Park in Weswego in a 33ft 5th wheel. The park currently is offering a 50% discount for age 62 and over. Winter Seasonal rates last week were $25/day. 50% off meant a very low rate. The discount is applied when you check in, not when you make the reservation.
All sites are back-in, most are 50ft+. 50A, with water, free wifi. No full hookups. Laundry room use is free, clean bathhouses. It's a basic state park but very quiet and safe. We've stayed there on all our trips, multiple times each year, for the last 20 years or so.
If you choose to reserve at one of the state parks for multiple days, I suggest you make your reservation for your stay but only pay for the first night. The balance can be paid when you check in. If there is a change in plan, you're only out the one night's cost.
If you want to preview the campground, go to google maps for the address and then go to street view and drive the park. You'll see each site clearly.
Non rush hour traffic, you can be in the French quarter in 15 minutes. As with any big city, stay aware of your surroundings to be safe at night.
Hope you have a wonderful stay and experience.
Laissez les bon temps rouler!!