We were there last week for a few days and it was great. Last time we were there was 9 years ago. Still a nice park, lots of paved bike paths. Fire pits at each site and sites are nicely spaced many with vegetation between sites. A shuttle will take you to the Charleston Visitor's Center for a small fee and pick you up later.
We found Charleston to be very easy to navigate with a 3/4 ton Chevy longbed. Bring quarters for the meters as parking on streetside is plentiful. When you register for the camp, ask the desk for a map of the city. It's of the public transportation system which is not fully operational anymore, but the map is the best one we found. Also check the clubhouse, it has a rack or two of brochures with the tours and cruises of the area.
Plenty to do in the park and outside.