You will have to file a part year North Carolina tax return. Reporting all the income you received in NC on the state return.
When entering your personal information in the My Info section, you select West Virginia as your resident state. When asked if you lived in another state you answer Yes and then enter the date you moved to West Virginia.
This is will tell the TurboTax program that you need to file a part year North Carolina return. You will have a West Virginia program added to your online return but you will not need to file the WV return since you did not have any income while a WV resident.