Depends on your utilization, etc., etc.
My personal rule is close the old card when I open a new one (always leaving at least 2 open). Regardless of length of credit card. I've always had a score in the 800 range. (I have a mortgage that seems to be bigger piece of score anyway - full disclosure).
Anyway, I closed an old (paid off a few months prior anyway) 0% balance transfer card in December and my FICO went up 30 points. I think the "never close your card" thing is officially over-rated. I knew from experience it wouldn't amount to a hill of beans in the long run. But the short term effect was shocking, for sure.
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