As you pay off each card, it might seem like a good idea to close the account so you aren’t tempted in the future. Watch out! Doing that can temporarily lower your credit score. Your score depends partly on how much of your available credit you’re using. Closing accounts can wreck that ratio.
Instead, take the cards out of your wallet and put them somewhere safe. (Some people freeze theirs in ice to make them hard to get to.) To keep the cards active, use each one once a year and pay it off right away.
Your oldest credit card can be especially important. It shows a longer credit history, which can help raise your score. You definitely want to keep that card active. If the card has an annual fee, a high interest rate, or some other feature you don’t like, contact the card company and ask to have the fee waived or the rate lowered. If that doesn’t work, just wait until you have a better card with seven to ten years of history, and cancel the first card.