A New York small estate affidavit is a legal document that facilitates the transfer of assets of a person who died. Complete your New York small estate affidavit in minutes.Notarize it online and legally claim your right to the funds and other assets of the decedent. How do I fill this out? The forms may be sworn to before a deputy clerk or a notary public. Complete the information requested on the Mail-in Claim Form page.