A credit counselor first of all. They might be able to help you out with consolidating all of your debt into one easy monthly payment. Also, they might be able to help you set up a budget.
Do you have state aid or something to that effect? You should try and find an income based house or apartment. That will definitely save you some money.
Honestly though, if money is going to extraneous things your really never going to get ahead. You have to make a plan and STICK WITH IT, having food on the table for you kids is an absolute priority. Fast food.... Not so much! If the gas station job is paying, I don't understand why you aren't there applying for the job.
Brush your teeth 3 times a day!!! The toothepaste kills the tasted of EVERYTHING = (hopefully) less ff or none
Good luck, I hope that you do speak to a professional about your finances though, they can help out more than you think, and can ALSO get you into some gov't programs to help!
&& the moving thing, if it's going to better you and your childrens lives, WHY WHY WHY would you stay in a town where you can't find decent employment...
EMPOWER yourself girl!