TLE, I've heard a closed cc with a 0 balance will have no effect on your scores. But the history will remain for a the full time period on your CR after closing.
I too closed an account 2 weeks ago on a cc that was costing me a lot of money just to have it. Great starter card, and it served me well the time I had it. It helped me so much to rebuild my credit back to decent levels. But it served its purpose and time to rid myself of cards that cost money just to have.
Hope that helps.
