To be very specific, if the house is your father’s house, and your father’s house alone, you can go to to your Dad’s case worker to do a transfer of ownership with proper proof of care, residency and no alternative residence now to transfer the deed from your father to you.

If you wait until after your father passes, and the house was his and his alone, you go through DHS Estate Recovery where you have to prove to them care, residency and no alternative residence,