You should keep them open because you have more credit available to you. If you have the discipline not to use them, your all right. Some credit card companies will close out your cards for non use after a long while but that’s another story. You also have to think, if you get into a jam and have credit cards sitting around with 0 balances on them, it could help you get out of a pickle. Also, if you have enough cards around that are debt free you can juggle your debt around.