In exercising the right of eminent domain to acquire any property or some easement or other limited right in property required by the City for the purposes authorized by this article, said City shall proceed by petition to the Public Service Commission and in the same manner and by the same process as provided in Chapter 242 of the Public Laws for the condemnation of property by public service corporations other than railroads and the Public Service Commission shall have all and the same powers and perform all and the same duties in hearing and determining the matter, rendering judgment, and making findings as in the case of such public utility corporations. Any party who feels himself or herself aggrieved by such judgment or findings shall have the same right of appeal with the same incidents thereof as provided by Section 5969 of the Public Laws in the case of condemnation proceedings by a public service corporation. In exercising its right to use public highways, said City shall have the same rights and be subject to the same restrictions as prescribed for towns in Chapter 259 of the Public Laws.