Leonard's BBQ on Fox Plaza Dr (off Mt Moriah near its intersection with Mendenhall) is very good and has a wicked lunch buffet on weekdays.
Interstate BBQ at 2265 S Third Street is very good as well, and has been profiled on the Travel Channel. The are a little stingy with the sauce (they sell it in bottles) but if you ask the waiter/ess they will bring you more.
Welcome to Graceland Whale!