The most important thing is to find a Realtor and a company that you really like, someone who understands your needs, and who does a super job listing your house including 25 pictures that are excellent. That agent can recommend someone down here with the same company, or you can choose someone who appeals to you based on their responses to questions on Trulia.
I am biased so would recommend that you check out Keller Williams, rated tops in the country. If you want, I can recommend agents in your area of CT who you can interview to sell your home. Whatever happens, I wish you a speedy sale for a good price, and an easy move to NC where I am sure you'll be happy that you moved.
Vivian, aka CrazyViv