The county court shall be entitled to collect the following fees: For the registration of any trust, whether testamentary or not, twenty-two dollars; for each proceeding initiated in county court concerning the administration and distribution of trusts, the declaration of rights, and the determination of other matters involving trustees and beneficiaries of trusts, twenty-two dollars; for the appointment of a successor trustee, twenty-two dollars; and for filing and recording each report, five dollars. Two dollars of each twenty-two-dollar fee shall be remitted to the State Treasurer for credit to the Nebraska Retirement Fund for Judges through June 30, 2021. Beginning July 1, 2021, four dollars of each twenty-two-dollar fee shall be remitted to the State Treasurer for credit to the Nebraska Retirement Fund for Judges.