Also a lover of Savannah here. Other things to not miss:
Forsythe Park
a trolley tour
the Riverwalk
the main cemetary -- I know, sounds weird, but very old and cool
and we liked the Pirate House as well
Finally, if you are a fan of Forrest Gump, a lot was filmed there. (The bench)
Also, they have a great visitor center.
Enjoy!