The Montgomery-Inn or "Rib's King" is one of the better returaunts in the area, I wouldn't really call it a BBQ joint. While they are famous for BBQ'ed ribs the sauce has a lot of garlic and in my opinnion better on chicken. If in the Cincy area and you just have to try this world famous flavor, the origional location in "Old-Montgomery" just north of Cincy is the place to visit. The history and atmosphere of the Montgomery location are well worth the 20 minute drive north even if your staying downtown.
Burbank's I think has a better sauce and they offer it in several levels of heat. The pulled pork is phenominal. If given the option of one or the other as far as flavor of food, Burbank's is a better option.
If you really want a taste of Cincy you need to give your smoke buds a rest and try Skyline or Goldstar(my Fav). Cincy is fammous for chile not BBQ
Years ago, there was a place east of Cincy called the Red RIver Cattle Company. They were brought to Cincy they 6lb challenge. If you could eat the whole 6lb steak, salad, bread, and baked potatoe..your meal was free. As far as I know they have been closed for years. They had a place in Montogemory for a while but that is now a Hooters or something. Since they closed we have been longing for a good place that serves food cooked on a real wood fire.
The only true BBQ place left I know of is near Hillsboro by Rocky Fork Lake called "The Frontier Grille". They still fire up the logs to cook their food. They also have the 6lb challenge if your really got the munchies! If you are up for about an hour drive from Cincy this is your best choice for a real "BBQ Joint". Not sure if they have a sauce, even A-1. The ribeye or filet, straight up, is the way I allways go.