Any trails and parks controlled or maintained by a metropolitan district and located within any county of the first classification with a charter form of government and having a population of more than two hundred ten thousand but less than three hundred thousand inhabitants shall be operated on a day-to-day basis by an appropriate department of a political subdivision located in such county pursuant to a contract that shall provide for such service and the terms of payment thereof. Nothing in this section shall be deemed a delegation of policy-making authority to such department.