When someone dies with a will, the personal representative or Executor they name will be responsible for handling Probate under the control of the state’s probate court, in most cases.
When there is no will, the court will appoint an administrator who manages the estate and Probate based on the state’s probate laws. There is compensation for the personal representative or Executor for taking up the Probate’s responsibilities, just as much as the attorney fees. That is why family members struggle to be in that position, and have the authority and reward at the same time. Many personal representative or executors waive their share of fees at their own will.