New Orleans has no "blue laws" or mandatory closing times; there is always somewhere to get alcohol any hour of day or night every day of the year.
You can head out the door with an open container of alcohol, but not in a bottle or can; to try to keep broken glass and jagged metal from filling the street, local laws mandate you use a plastic cup while on city streets and sidewalks. These are known locally as "go cups", and every local bar provides them, usually has a stack of them by the door and the bouncer will take your drink from you and pour it into the cup because bars can be held liable if they don't. Use them, because New Orleans Police are watching for it, especially on Bourbon Street.
Some drinks are noted for their potency, such as the tourist favorite "Hurricane" (a fruit punch and rum drink), which originated at Pat O'Brien's bar but now common in the Quarter, and the "Hand Grenade" (billed as "New Orleans' Strongest Drink") at the Tropical Isle. However, drinking does not have to be about quantity. Popular refined local cocktails include the "sazerac" and the "Ramos gin fizz". Beer lovers should try local brews like "Abita" on tap, from light Wheat to dark "Turbodog" to the quirky "Purple Haze", a raspberry beer loved by some. New Orleanians also love wine.
Those not accustomed to the Southern heat and humidity should be sure to drink more water or other drinks without alcohol than they usually do during the day to avoid dehydration.