Go to the Olde Pink House. It's on Abercorn just up from Bay Street (which runs parallel to River Street).
If you can make it out to Tybee for breakfast go to the Breakfast Club. Everything I've ever had there has been great, but the house sausage is the best.
Fort Pulaski out on Tybee is cool to see if you have some time to kill.
Get a beer to go from your restaurant/bar of choice and enjoy it as you walk around Savannah.