One of your first stops should be Hilton Head Island Welcome Center. Here, you'll be able to find your bearings and get some great ideas before you start exploring.
You'll soon see why this Hardeeville tourist information center is popular with travelers. If you're searching for more to explore, Golf Club at Hilton Head Lakes, Argent Lakes Golf Course, and Sergeant Jasper County Park are in the area too. They won't take you long to reach from Hilton Head Island Welcome Center.