Need mom advice

My son is 10 months old. I recently took him and I out of an abusive home. I tried the shelters but everything is full in my county and all the neighboring counties. Winter. So him and I have been jumping from one friends couch to another while I try to get my life back on track.

This is making me feel like a terrible mother. He is waking up somewhere new every couple of days. Once he gets used to one place, it's on to the next. This is truly my only option right now. I won't go back to his father.

How much damage am I doing to my son by living this way for the moment?

I'm trying so hard to get everything back together so I can give my son the life he deserves, but it's not going to happen over night.

Someone please tell me he is going to be alright. Tell me I'm not causing too much damage to his little mind...