HI Paula,
A wonderful beach is Okracoke Island, just off the NC coast. It's a small island with many locally owned shops, hotels, restaruants, and bed and breakfasts. It's perfect for family vacations--no spring break/crazy college kids--very low-key, no crowds and family-centered. There's a 2 hour one way ferry ride to get to the island from Swan Quarter or Cedar Island (depending on which way you go). All told, it takes about 5-6 hours to get there from the Triangle (including the ferry). Once you're on the island past 9pm, the ferries stop running until early mornining, around 5:30. So it's definately not a day-trip, but it's a wonderful place to vacation close by with the family. My husband proposed to me on the starlit beach at midnight there, we spent a week of our honeymoon there, and try to get back there anytime we can. It's really a wonderful little island.
The web address for Ocracoke is:
www.ocracokeisland.com/