Probate is handled by the probate court in the county and state in which the decedent lived as their primary residence at the time of death. Note that this refers to the decedent’s state of primary residence, not where they may have been living or vacationing when they passed away. Each state has its own name for its probate court. In many states, it’s simply called probate court but it may be called Surrogate’s Court (New York) or Superior Court, Probate Division (California).