Generally, the deadline to file an application for an exemption is April 30. General Residence Homestead Exemptions: You may only apply for residence homestead exemptions on one property in a tax year.You must apply with your county appraisal district to get a homestead exemption. Applying is free and only needs to be filed once. If you are 65 or older, you may be eligible for the Seniors' Texas property tax homestead exemption. In addition to the Homestead Exemption, senior citizens aged 65 or older may qualify for an additional Age 65 or Older Exemption. Homestead Exemption for Seniors – Who is Eligible and How to Apply. If you are 65 or older, you may be eligible for the Seniors' Texas property tax homestead exemption. This video covers how to fill out Texas Residential Homestead Exemption with a focus on Bexar County. In the context of homestead exemptions in Texas, age holds more significance than being just a number.