My mother and father built a house on Long Island in the early 50's - it's where I grew up. Years ago, we had an elder care attorney add my brother and myself to the Deed, so that upon my Mothers passing, the home would automatically transfer to us - which it did. My youngest son expressed interest in the house. I told him I could help him with my half, but he would have to buy my brother's half out, at fair market value - which he did.
Even though I was giving my half to my son ("Gift of Equity") I still had to have my own lawyer. After all, it is New York. Then, when the paperwork was slid across the table to his lawyers side, and legally became his, the Taxes went from $2000 per year (my Mom was over 65 and had Double Star) to $12,300 per year - exact same house. After all, it is New York!