My wife and I chose this cruise mainly based on price.
We traveled on our own to New Orleans and spent two nights there before the cruise. We enjoyed Bourbon Street, a ride on the streetcars, and the World War 2 Museum. The museum was awesome. We stayed at the Lafayette Hotel and were able to walk to the ship.
If you don't have a lot of heavy luggage, and are staying the the Warehouse/Arts District or in the French Quarter, you might want consider walking to the Julia Street Cruise Ship Terminal. If you take a taxi, ask to be dropped off at the intersection of Julia Street and Convention Center Blvd. If you are walking, aim for this intersection. From this intersection you will see the ship. Walk toward it either at street level (passing an opening in the concrete flood wall and over two sets of railroad tracks) or go up the escalator to the second floor of the shopping mall and take the nearby elevator back down to street level. The entrance to the cruise port will be evident with either pathway.
There was adequate storage for the clothing that we brought on board. The room was comfortable.
The World War 2 Museum is excellent. They will store you luggage free. There are taxis that wait outside of the museum if you nee to get to the airport.
We walked around outside of the cruise ship port complex.
The Turtle place gets a very low rating and the Public Bus gets a very high rating.
You will be pestered by vendors. It is likely beyond the control of cruise line companies. There probably are some very good tours offered by the dozens of tour vendors that you will encounter. We took a route (pronounced "root") taxi to Dunn's River Falls for $1 US per person in each direction. The taxi will drop off and pick up at the entrance road to the falls. The information booth at the cruise port will not provide any information on route taxis. (You pick up the route taxi near the Burger King Restaurant - ask locals where the pick-up location is after you get to the Burger King) I enjoyed hiking up the falls. I climbed without a guide and was able to climb much faster than people using a guide. After getting to the top I went nearly to the bottom of the falls and climbed the falls again.