What is the best way to apply for housing assistance in an emergency housing situation?

My boyfriend and I are both in living situations that require us to get out as soon as we can. He is being kicked out of his current home with his parents (after having to move back after losing his job). I currently live with my parents and my mother has threatened to "punch my lights out" a couple times. We are trying to apply for housing, but the waiting list is two years long in the area we are moving to. Is there anything we can do?