well first you have to hit River Street. there is a great seafood place there i cant remember the name of that i highly recommend. since you're staying in the historic district you'll be near Forsyth Park(brings lots of film or make sure your digital cam battery is charged btw) and be near the Mercer Williams House(Midnight in the Garden of Good & Evil; known by locals as "The Book"
. there are carriage tours around town, one of which i believe is a tour affiliated with Paula Dean, which includes a lunch at her restaraunt "Lady and Sons". beware though there are huge crowds there.
Bonaventure Cemetery and the Telfair Museum are also cant miss places IMHO. i would also recommend making the short drive out to Tybee Island. there is a cool lighthouse and Civil War Fort out there plus its a pretty nice beach area.
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"You should never underestimate the predictability of stupidity."