Help me find a home

So.... This is pretty embarrassing but I'm desperate now. Myself and my three kids will be officially homeless on the 6th of March.  
Me and the kids had a really rough start involving domestic violence so I finally found the courage to change our lives. 6 years ago we moved to Carlisle knowing no one. I worked my butt off to get this house and my job as a dementia carer. In the 5 years I have lived in this house I've not once been in rent arrears or had any problems. In November I did some overtime to get some extra money for Christmas but this resulted in all my benefits getting stopped and I'm now in huge arrears that I can't get out of. Because I'm in arrears no one else will house me. The only option I have is getting rid of everything I own and being split up from my children in various hostels, I would also loose my job as I couldn't get there from the hostel. I honestly wonder why people try and better themselves. This is making me really unwell mentally. My poor kids deserve so much better than a massive failure as a mother. This is not the life I wanted for them. Whatever happens please know I love my kids more than anything. Please help if you are able.