Any incorporated municipality in this State may by ordinance provide for homestead exemptions from municipal ad valorem taxes on real property for persons eligible for such exemptions under § 12-37-250 and in amounts not exceeding those provided in that section. Exemptions may be in a lesser amount if the ordinance shall so provide. Applications for exemptions and other procedures related thereto shall be as prescribed in the ordinance providing for the exemption. Municipalities establishing homestead exemptions shall not receive reimbursement therefor from the general fund of the State.