Market to explore local vendors & shop around. Callie's Hot Little Biscuit and Caviar & Bananas is a great stop for food in the market.
Charleston is full of beautiful homes and so much history! Spend some time walking around Rainbow Row & The Battery. Be sure to check out the Pineapple Fountain!
If you have time to hit the beach you can explore Folly Beach, Isle of Palms or Sullivans Island!