Most areas were either cleaned up or abandoned. It's not as bad as many people think right now. The quarter is just as kicking as ever, and still smells like piss. If you go visit the ninth ward, you'll have to go through New Orleans East, and you're going to want a gun in the car. There isn't much left in the ninth ward, and it's all over-grown.
As far as CCW, no bars, churches (which I don't understand), government buildings, or any public event where a permit was required to put the event on (parades basically). Also be aware that if you get approached by an LEO in an "official manner" that you are required to inform them you are armed and have a permit, then submit to being disarmed. (complete non-sense, but it's the law.) This includes getting pulled over for a traffic violation.
Hope I helped.