Well,
Welcome, there are a number of courses near you. Zebulon and Wendell parks to the east nice with long hole in places. In Raleigh, Cedar Hills and Kentwood(short and fun). South in Holley Springs there is Jones Park and Middle Creek. Apex has the Nature Park, 3 in Durham, Valley Springs 22 holes, Bethesda and Cornwallace(short holes, fun to play). Chapel Hill has UNC and Dogwood off 15-501. Anderson over in Carboro. Then there is Buckhorn at the Sharon Harris Park. I like playing them all. There are a few others, some private but easy to schedule play. A few Companies have courses like RTI. There is a new park coming near Falls Lake, the land is set aside, working on the planning as I understand.
Wednesday night at this time of year we play glow doubles. Do a search for "TCP Disc Golf" and look at the remaining schedule. I can't remember where are this week. It moves to a new park every week starting at 7pm, sign-up is at around 6:30pm.
Doubles in Durham runs year round at Valley Springs, I think it is Saturday or Sunday mornings. UNC runs double in the summer on Monday if I remember correctly. Middle Creek runs the summer doubles on Wednesday. Jones is on Thursday, Kentwood is Friday in the summer. Cedar has doubles on Tuesday in the summer. Most start up around May 1st.
Hope this helps.