Hi,
I think you should pay 2/3 of your credit cards using your savings account balance, maybe take 2/3 of what you have saved. Then try to payoff credit cards that have the smallest balance first and then pay off the next higher balance. Then cut up the credit cards you had paid off. You really have to change your lifestyle if you want to be debt-free.
No more eating out. It costs so much money, we know that. Cook at home and bring food to work and don't buy over there. If you are driving a car with high payments, sell the car and buy a used inexpensive car for $3000.00 just something to transport you to your job. Don't take any vacations. Review all your bills and expenses and eliminate unnecessary expense.
There is a website I will highly recommend. Go to DAVERAMSEY.COM, buy some of his books. This man has helped change and improve the financial status of millions of people. His focus is on how to get people debt free. I always listen to him on talk radio . I am sure he has a talk radio where you are, if you are in the U.S. He also has a TV program on FOX NEWS BuSINESS.
By the way, I don't know what kind of job you have. If you have a chance to work overtime too so that you can payoff your debts faster.
Please keep us posted. I know this is not an easy undertaking but it is there to be dealt with. You will be one of those successful people after you read Dave Ramsey's books if you will stick to the plan and have some sacrifices. You are on your way to being debt free!!!
Take care and have hope.