Moving on with kids

Edited for updates:
I am currently trying to save up money to move into our own place.
My husband had left, we need to move out and into our own place, my four children and I. I don't have a job, yet. Barely able to keep up on groceries let alone be able to get to appointments or go to places that might be able to help.
I'm just trying so hard to get my family out of this tough and growing worse situation before things go too far. How far that is, I don't know, but I really don't want my children experiencing things getting worse than they are now.