Just don't close the credit card accounts you've just paid off or you'll reduce your overall credit limits, which may then wipe out the benefit of reducing those balances. (clark.com)
This is really important because I also have considered closing a credit card with a $ 95 annual fee and opening a new card to get 50,000 bonus miles. (personalprofitability.com)
The good news is there are a number of steps you can take to reduce the impact of closing credit card accounts. (creditshout.com)