Need a new home

We are a family of 3. My children are 3 and 5. I am 25 yrs old. I am a CNA and I did in home care for 6 yrs. It all started when school was out; we lost everything behind it. I was unable to pay for daycare due to no job; which is caused due to no babysitter. I tried everyone but most told me no or stood us up. Their dad hasn't been in the picture since the birth of our youngest but until now we were managing just fine. I tired getting assistance but I was better off becoming a stripper lbvs. They told me my previous income was over there limits(by a 100.00) so I was denied everything but 200 ebt. My caseworker said I couldn't even qualify until mid October for any other benefits. I am in Flint mi and we are going thru a water crisis right now and alllll the shelters and help centers are full. All we have are each other God and our car. Luckily they recently started school. They have some but not many uniforms for school so I know they are clean and feed for the day. Unfortunately we have no where to lay our heads.I found a few places but everyone requires first month rent and deposit which adds up to unimaginable funds for me. Ive tried so many resources but they all failed. So that leads me here and hopefully someone has enough heart or faith in us to help us at least get a roof over our heads. Thanks so much!