So depending on your area, Alot of councils are advising for just private rental only due to the housing crisis! As you have a roof atm they won't deem you an emergency or anything, Unless you get it in writing that your family are evicting you! Whatever you do , it won't work in your favour if you make yourself intentionally homeless, As you'll have brought that upon yourself They may place you in TEMPORARY which could be a hostel, hotel or a 1bed etc etc - Be prepared for any kind of conditions as they don't care, by law it should only be 6wks however it can be years! I was on a travelodge for 6months i had to flat hunt daily , otherwise I'd still be there! You could also see the possibility of the council paying your first month's rent and deposit 😉 , Although as you know it would have to be somewhere you can afford, So if you have to look futher a field sadly that maybe the case x
Go to your local council they should be able to help with housing