How to transfer a property deed of a deceased relative

My question involves estate proceedings in the state of: NY I have a complex situation and hoping to gain some directions. My house is currently titled to my grandfather but on the actual deed it says his name & 1. He has been deceased for 37 years and my grandmother never switched it while she was alive. Since then, my grandmother, my grandfathers only sibling (my great Aunt) have deceased. My father and his only brother are also now deceased. There are no other living relatives besides myself, my brother and 2 sisters. They have all agreed to give me the house. 1. How hard will it be to get the house solely in my name? 2. My grand mother and father both went into nursing homes, is that something Medicare and nursing homes can get their hands on? 3. My grandmother had quite a bit of debt, can any liens be attached? Thanks in advance for all the info