In my experience, good service is often hard to come by in New Orleans hotels, particularly in the French Quarter. Two that I can recommend are the W French Quarter and the Chateau Sonesta. There is now a Ritz-Carlton in new Orleans, that I have not heard much about.
I would not recommend the Bourbon Orleans. When we last stayed there, we returned from dinner to find that the hotel had given members of a band playing a wedding party in the hotel keys to our room to use to change clothes. It is rather unpleasant to return to your hotel room to find someone in it who is not a maid. The hotel didn't seem to care much about this.