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Hello and welcome to myFICO You are spot on, the 2 BK's and the utilization is killing your score. Have you sat down and created a budget? I don't like a lot of things Dave Ramsey says, but he has some very good budget ideas/plans. You need to set up a good budget and start getting some money into savings.
I would take those credit cards and either cut them up, or sock drawer them asap. Figure out which has the highest interest and start paying it off as quick as possible. After that, move to the next one until all your cards are paid off. FICO has no memory so there is no need for you to be playing the utilization game right now.
Once the cards are paid off its time to start building a savings and emergency savings. Good rule of thumb is to have 3-6 months of bills in a savings account. Your savings is what you should be using for car repairs etc..
Once you have your finances in order I would start the credit fun back up. Best of luck to you!