(1) Any party in a civil case and any defendant in a criminal case may appeal from the final judgment or final order of the county court to the district court of the county where the county court is located. In a criminal case, a prosecuting attorney may obtain review by exception proceedings pursuant to sections 29-2317 to 29-2319. (2) Sections 25-2728 to 25-2738 shall not apply to: (a) Appeals in eminent domain proceedings as provided in sections 76-715 to 76-723; (b) Appeals in proceedings in the county court sitting as a juvenile court as provided in sections 43-2,106 and 43-2,106.01; (c) Appeals in matters arising under the Nebraska Probate Code as provided in section 30-1601; (d) Appeals in matters arising under the Nebraska Uniform Trust Code; (e) Appeals in matters arising under the Health Care Surrogacy Act as provided in section 30-1601; (f) Appeals in adoption proceedings as provided in section 43-112; (g) Appeals in inheritance tax proceedings as provided in section 77-2023; and (h) Appeals in domestic relations matters as provided in section 25-2739.