Advice With Renting

I’ve applied for housing and have been placed in band C which I believe isn’t a priority and could take years to get a home. I’ve heard that private renting is not a good idea so that leaves normal renting. Everything I see is too much, too small, not accepting families so I don’t know what to do. My living arrangement right now is very cramped with hardly any space for baby to crawl, it’s me, my partner and baby in one small room. I’m claiming UC already, would they be able to help out with rent too if we move? Thanks.