Savannah is famous for its parks and squares. They are absolutely gorgeous due to their unique trees. There's just so much greenery in here and not just a basic kind. Something you would only see in movies.
This is essentially the entertainment district of Savannah and trust me you will be entertained. From live music to circus shows you're going to see it all for free. Plus, many food/drink options around.
This used to be a power plant station and is now turned into a luxury hotel. The lobby area is essentially a gallery with some shops. You will see many exposed historical architecture from the station.
If you plan on heading to the beach, this is one of the places you should check out. To be fair, Hilton Head isn't too far from Savannah, but if you decide to just stick to what Savannah has to offer this is it.
This is a rooftop bar located inside Perry Lane hotel. I would say this is probably one of the best rooftops in Savannah as you can see all downtown and the river. Not to mention the sunset view is spectacular.