Because Savannah has such a strong student population, housing cycles are closely tied to the school year. This means that you're going to have to consider when students are moving out to time your apartment search. Looking in the early summer or late spring is typically going to yield good results.
Savannah is not a super-competitive rental market, but don't let that give you an excuse to get sloppy on your applications. If you take just as much care when applying for an apartment in Savannah as you would in New York City, you will impress your landlords and get your relationship off on the right foot.
Savannah has a lot of options for getting around that make it very friendly to newcomers. The Chatham Area Transit service runs busses that cover the busiest part of the city. They also offer a bike-sharing program. Cycling can be the best way to get around the city, and the bike sharing program offers this option if you don't own a bike, or want to try it out before you invest in your own.
City Market is a must-see for new residents of Savannah, as it provides entertainment, restaurants, and shopping all in one large attraction. If you're not at City Market, you should be on River Street, where you can find all the tourist-centered shops and bars. A walking tour of the historic sites in town can be beautiful during the warmer months. For a different kind of tour, take a tour of one of the many allegedly haunted houses and parks in Savannah!