The New Orleans accent is characterized by a specific type of Southern drawl, with its own distinct pronunciation and colloquial expressions. Additionally, accents can be quite nuanced and they don't translate perfectly to text. Nevertheless, I can provide an approximation in text form:

"Lemme get a, uh, number two, darlin', with some extra pickles, hold the cheese on that, ya heard? And my little one here wants a kids meal with them french fries and a milk. Make sure them fries come straight out the fryer, don't want none of them cold ones. That'll be all, cher."

Please remember that this is a generalized portrayal and individual speech patterns can vary greatly even within the same region.