There are several options for private family health insurance in North Carolina. Including Blue Cross and Blue Shield of North Carolina , UnitedHealthcare, and Cigna Healthcare. You can compare plans and enroll online through their websites. Through the federally run health insurance exchange at HealthCare.gov . Some plans may offer additional benefits. Such as personalized health coaching and coverage for specific conditions. Keep in mind that the cost of the plan will depend on factors. Such as the level of coverage and your family's medical needs.