you can start on webmd's state pages for a primer on plans in your state. but you'll need to go to healthcare. gov to view all of the plans and various options available to you in north carolina. if you find something that works for you you can begin the process of signing up for a health insurance policy online or call the customer service number you see on the site to get help walking through the process. the affordable care act provides subsidies for people with low incomes so based on your description it sounds like there's a very good chance you'll receive significant help to cover the cost of an insurance policy.
what are north carolina's insurance plans for people in there 60's with very limit or no income?