The ship will dock in the middle of Historic Charleston. The Market area is only a block or two away. You can shop, eat, and book tours there. Hare and buggy tours are a great way to see Charleston. Even better is to just stroll the historic streets . Meeting St, Church Street, East Bay St all end up at the Battery—-about a mile walk. Broad St intersects each of them. You can tour churches, three historic homes,and the Exchange Building. Locals are very friendly. Waterfront Park is lovely and close to the ship.
I really enjoy a walking tour with Charleston Pirate Tours. My friend Eric gives a great tour——about a one mile walk—-leaves from the Powder Magazine on Cumberland St. the tour ends at the Exchange Building —-which is a very reasonable add on and well worth your time.Of course there are lots of other walking tours too.
You will never be far from the ship and the area is very safe. Locals will help with directions.
I hope this helps you plan your day.