The Council, except as herein otherwise provided, shall have the general management and supervision of all Parks, squares, openings, and public grounds surrounding public buildings now owned or hereafter acquired by the City, and also shall have power to regulate and control the planting, trimming, growing, use, preservation, and maintenance of all shade or ornamental trees, shrubs, plants, or flowers in, upon, or over any street, boulevard, path, or sidewalk of the City. The Council may adopt such rules and regulations for the use, management, and supervision of the Parks, squares, openings, public grounds, and grounds surrounding public buildings, bath houses, or other places of recreation, now belonging to the City or hereafter acquired by it, as to the Council may seem reasonable and necessary.