i woldnt search for private, as the benifits wont pay a bond for you, youll have to get that your self, and that can be hard, espeacailly if its an estate agent then they want like £1000 up front, even if you are gonna claim housing for it. go and speak to the council, you wont have to pay a bond on a council house, and they will advise on there way of searching for council housing, near me its a biding system you register and you get pionts for your circumstances such as you will get pionts because you have grace, and you will get pionts because your soon to be homeless explain it to them and follow the process it shouldnt take to long, near me i went for my 1st 2 bed flat when i was 18 and i had no kids, and i just kept bidding on everything that was suitable and in a decent area, and with in 4 weeks i was offered the flat, good luck hun. xx