What would be the best pay to pay off credit card debt in my situation?

With the past-due accounts on your credit report and still active, you will probably not be able to get another card or a line of credit to pay them off. Your best bet is to call both cards and explain very honestly that you plan on paying them back starting whenever you plan. Figure out how much you can afford to pay each on a monthly basis and stick to it until they are paid off.