Good for you for wanting to solve this problem before it gets unmanageable! We know folks with 3 or 4 times that in credit debt and it only gets harder to get out from under it!
I would highly recommend you visit www.daveramsey.com. He's the creator of financial peace university. You can also buy the book "Total Money Makeover" and have what you need to get a great start on reducing your credit debt. I can give you a brief description of his advice. But first, let me tell you that I used consumer credit counselling right when I got out of college for credit card debt of a similar amount. I would not recommend it because it marks your credit report the same way a bankruptcy would. I had a horrible time trying to buy a car with that on there! Also, they do consilidate the debt for you, and the interest is reduced somewhat, but the monthly payment is the same (basically, they combined all the minimum payments into one payment). The good news is that as soon as you pay them off, your credit report is cleared.
As far as rolling the balances over to 0% cards, we've done that, and if you are disciplined and watch your dates, it can work. Because of juggling different dates and time frames for the 0% offers, it could get you into trouble if you have more than one. Note that you pay at least $45 for a balance transfer fee for each balance. If you can get a 0% offer for a credit line big enough to cover all of your credit card debt, and you can keep track of when the 0% term is up to keep rolling over the remaining balance, this could work for you. We did this with the last $4,000 or so of an auto loan and paid off the car early.
As far as Financial Peace University and Dave Ramsey, the idea is that you begin getting rid of your debt with the smallest balance (not the lowest interest rate, which is different from some conventional advice). You pay the minimum balance on all but that lowest one, and put every extra penny towards it until it's gone. Because you've begun with the smallest balance, you'll get a sense of accomplishment pretty quickly, and be more encouraged to continue with your next balance. When you get to the second lowest balance, you pay the minimum on that one, PLUS whatever you had been paying on the first balance.
Also, it helps to have a budget in place when you begin your debt reduction. The Total Money Makeover book tells you how to set up the budget and develop a cash spending plan. If you have a budget and are using cash for groceries, etc., you shouldn't need your credit cards. Thus, you won't be adding to your balances while trying to reduce them!
We've lived on the cash budget system for about 5 years now and it's great. It seems daunting at first because we're so used to the ease of swiping cards to pay for things, but it doesn't take long to get used to it.
Good luck!