How do I hire a lawyer to represent me in housing case?

I recently became homeless and had to move into a shelter with my three year old son due to violence in the home I was living in. The violence and bullying that was happening to me, was something that I didn't want my son to learn. I wanted to keep him safe and protected from this type of behavior. I didn't want him to learn that this was ok. I applied for housing, but never told them I was being hurt and bullied because I was afraid. I was denied housing. The Board of Social Services said they denied me base on the fact that I had enough time to get myself together. They also lied on some important documents, that were mailed to me, saying that I denied shelter. I did not deny shelter. I live in a shelter, now. They did not assist me in finding shelter, I found it on my own. They are not giving me a shelter voucher since I have been here, at a domestic violence shelter, (Shelter our Sisters).