Address: 369 Little E Neck Rd #107, West Babylon, NY 11704 Phone: 631-259-4079 Steps to the Probate Process. Probate process includes several steps. This will provide you with an outline of what to expect while this event is taking place. Petition – When an original Will of the decedent is discovered by the surviving spouse or children, the probate process will begin by filing a probate petition with the probate court.