Broadkill beach is very quiet and peaceful area. It is at the very beginning of Delaware bay, so the waves are smaller than on the ocean.
If you want to explore other places nearby, here is brief overview:
Lewes beach, which is the closest town south of Broadkill, is located next to Cape Henlopen State Park and Fort Miles Historic Area. It has outdoor displays of artillery from WWII.
Rehoboth Beach is a lively area with restaurants, bars and a water park. It is also known for Tanger outlets stretched along the Coastal Hwy (Delaware is an attractive tax-free shopping destination).
Dewey beach has bay access, and because of shallow, calm water it is popular with people who do windsurfing and kiteboarding.