There shall be no burning of any wood, leaves, branches, brush, trash, papers, rubbish, or garbage out of doors anywhere within the corporate limits of the City of Paris. Provided, however, that this section shall not prohibit the use of an outdoor fire for cooking or for recreational warming fires using a fuel source consisting only of wood, charcoal, propane, or natural gas when such cooking or warming fires are confined and contained within some type of cooking device, outdoor fireplace, or outdoor fire pit.