In order to begin the probate of a will, you need to file the original will and a certified copy of the death certificate of the decedent, along with a probate petition and other supporting documents, with the Surrogate’s Court. You must file your probate petition in the Surrogate’s Court in the county where the decedent had his or her primary residence. There is a filing fee based on the size of the estate. Once you have petitioned for probate, the process begins.