Condominiums for sale in Fort Sumter House Charleston SC at 1 King St Charleston SC Battery. These are waterfront condos in downtown Charleston SC in the South of Broad neighborhood, and over look the Charleston Harbor and Battery Park. About as close as you’ll get to a “high rise” in Charleston SC, there are also commercial businesses on the bottom floor. One King St condos for sale are very sought after and go fairly quickly due to their location and gorgeous water views.?