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The ultimate goal for credit card use (imo) is to make money off them, not lose money to them. So I'd get rid of that like a red headed step child.
I just thought I'd add from my own experience... Expect them to try and entice you not to close the card. They might offer to suspend the fees for 3 months. OR... Like what happened to me once my QS1 graduated from $300 to $1500 and then to $4300, when I complained to Credit One about my credit limit with them they offered to give me a CLI for a SMALL FEE of $37!! What? I have to pay you to increase my credit limit? No thank you...
Just a heads up in case you haven't made the call already, it won't be a simple "I'd like to close my account thank you very much" kind of conversation.
Congrats on your progress!!