A home for my family

I find myself looking for help as I'm currently in a situation beyond my control. My family  are currently needing to move home in the next few weeks  due to are current rented home being sold and the notice being miss managed.
My son is 11 and is autistic his mum can't work as he requires constant attention as well as are 14 month old baby girl as such we get housing benefits
I am asking for help because with the current rental market we can find place we can afford to live in just not that we can afford to move into with fees almost doubling the cost of propertys the local council has said they will try and help but given the time frame it's douteful