Emergency Home Relocation

I am a single mom and a veteran.  Almost 18 years ago I got a great job, and was doing fairly well.  Eight months ago I was laid off.  I have been looking for a job and was rambling by until about 2 months ago, when my resources were exhausted.  I have begged and borrowed to stay afloat, but my rent is just way to high - especially for no income.  I have recently gained employment, but it's a little late.  I am facing eminent eviction, as in by the first of October (I expect to come home any day to a locked door).  I have sought help from the VA but that hasn't come through.  Not to mention that I can't even talk to a landlord without paying an application fee - which I do not have. I have about a week to secure an apartment, and move.  I currently have barely enough money to put gas in my car to get to my new job.  But moving costs money.  Free boxes still need tape - and that doesn't even take into account transporting things...which I currently have no place to take to.  This is the most desperate thing I have ever done, but through this process I have gained humility, and realized nothing happens if you don't ask.  My son is 14 years old.  My goal is to keep a roof over his head, so he can worry about being a kid and going to school, knowing he has a place to come home to.  Thank you.