For great food go to Johnny Harris' restaurant. Billed as a BBQ place, it actually has a wide menu of Southern style cooking. It is a multi-generational place; I was taken there as a teenager in the 1950's by my dad.
Johnny Harris Restaurant & Barbecue Sauce Co – Savannah GA
If you have the interest and the stamina, visit Ft. Pulaski, a nearby Civil War fort that was originally constructed under the oversight of Robert E. Lee as a federal fort. It fell to an assault by Union forces when under siege by the first use of rifled cannon in the war. Some cannonballs can still be seen embedded in the walls.
Fort Pulaski National Monument (U.S. National Park Service)