Pay off all of my credit card debt

helped me out tremendously. She paid off 2 of my credit cards for me when she found out that I was paying $90 a month on one, and $86 of that was for finance charges. At the rate I was going, I calculated it would take me 48 years to pay it off. The other one was much smaller but still had a high interest rate. I still have a Wal-Mart card and a low-limit credit card that carry balances. I closed the super high interest account and kept the other smaller one just in case (but I really REALLY don’t ever want to have to use it).

Well right now this seems like something that will take forever because as I make a budget with my new salary and new rent I see that I will have literally less than $20 per week free. This includes making the minimum payments on my credit cards but that’s it. I guess better that than nothing. If it wasn’t for those student loan payments! Grr! With all my credit cards maxed I have $6300. I need to figure out which ones I should pay down first according to highest interest rate and then work on that with my extra money. OR, would it be smarter to save my extra money first to have a savings cushion (just in case) and THEN start paying extra on the cards if I can? I should mention that I do have a one year contract (with high probability of resigning a contract for at least another year) so I do have job security for a while.
I’m taking advice if you have some :)