Don't think that the madness of Bourbon Street is the only thing special about New Orleans. You will find the true flavor of New Orleans in the enchanting houses, dripping Spanish moss, the famous cities of the dead, antique shops, art galleries and some of the finest cooking on Earth (as long as you don't ask any questions about what it is you are eating.) But most come for Mardi Gras so I'll cover that first.
Quick Tips:
Invest in a money belt to ward off pick pockets.
Avoid the less traveled areas of the French Quarter. If you don't see tourists there,it is for good reason.
If you plan to flash, remember that it is illegal and while it probably won't get you busted, you will probably end up as a featured cheap drunken ho on some late night cable video sold for .95 of which you get none of the profits from.
On flashing: keep it on Bourbon Street. Flash at the St. Charles Street parades and you WILL be arrested.
You probably won't be able to find a taxi. They are all taken. Find parking early and pay the -15 to park.
Best Way To Get Around:
Take the street cars. It is a scenic ride and much better (and cheaper) than driving.
Carpool. Take the bus.