Additional Low-Income Senior Exemption: Filing period is January 1 through March 1 of each year. You can apply online for any of these exemptions through the Cook County Assessor's Office.Senior Citizens Homestead Exemption. Calculate how much you'll pay in property taxes on your home, given your location and assessed home value. Welcome to the Tax Collector's Office serving the citizens of Monroe County. We offer a variety of convenient online services and valuable information. How to Get the Florida Homestead Exemption? Complete the form online and select the state's e-file option.