Probate is a judicial process to preserve estate assets, collect them, pay bills and distribute property owned at your death according to your wishes (if you left a valid will), all under the supervision of the Probate Court.
The person named in your will and appointed by the Probate Court in Letters of Administration to oversee the administration of your estate, pay bills and distribute your estate to your heirs. If you do not leave a will, the Probate Court will appoint someone as the Personal Representative.