Crescent City Classic Cocktails

I'm planning a bachelorette party in Nola for Dec. 29th. I'm familiar with the area, but want some outside opinions/views :) I'm planning dinner, then a Classic Cocktail tour that features traditional drinks in Nola. As most of the other girls are from out of state, I want them to see a side of the city that not a lot of tourists see. I want to do four classy bars that offer different drinks. So, that's where I need y'all! If you could pick 4-5 places in the Quarter to highlight for drinks, where would it be and what would you order?! Also, please put them in sequential order on where you would begin/end. We would like to end on Bourbon! Thank you!!