One of my "oldest" accounts is Fingerhut and since last December I have been approved with some "good" cards (Amex, Chase, Citi, Penfed, NFCU, BOA, USAA... you get the point) and I don't plan on closing the Fingerhut account. There's no need to close it.
I never use more than 8% of my utilization and they're always offering little promos here and there that I don't plan on using. What companies really care about is how much of your available credit are you just using recklessly. Plainest way u can put it to you. Responsible use and on-time payments speak for itself.