This method is simple, but requires some discipline.
First, you have to stop any new spending on your cards.
Second - you'll need to examine all of your spending. You'll need to know how much extra money you'll be able to put towards paying off your cards.
Credit card companies generally determine minimum payment to be 2 - 2.5% of outstanding balance. So if you owe $1,000, for example, your minimum payment will be 20 - $25 per month.
Some part of that $25 goes to interest on balance, some to pay off actual balance. How much goes where depends on interest rate. Your credit card statement will give you exact numbers.
Let's say that $20 of $25 goes to actual balance. To pay off $1,000 at $20 per month will take 50 months. Just over four years. You'll also have paid $250 in interest alone.
Here's how you pay them off:
Look at interest rates on all your credit cards. Take one with highest rate. That's one you're going to work on first and we'll call it card #1.
After examining your spending you may have found some money to put towards your payments. All of this extra money to pay off your card debt goes to this one card. The idea is to pay as much extra to card #1 as you can. Until it's paid off.
Pay minimum balances on all other cards until card #1 is done.
Then take card with next highest interest rate and add to its payment total of payment you were making to card #1. In other words, send regular monthly payment you used to send for card #1, plus any additional amounts that you used to pay on card #1, plus monthly minimum for card #2- all to card #2. Do this until card #2 is done.
Then take total you were paying to cards #1 and #2 and add that to payment on card #3, and so on.