Illinois veterans and persons with disabilities may be eligible for tax relief through the property tax homestead exemptions and mobile home exemptions. To qualify for the SHEVD, the veteran must.• be an Illinois resident who served as a member of the U.S. Armed. Of deeds, Illinois Department of Veterans' Affairs, or the National. Disabled veterans may have some or all of their property taxes covered. This is called a Standard Homestead Exemption for Veterans with Disabilities (SHEVD). You must apply for the exemption with the County Assessment Office. The Illinois Department of Veterans' Affairs determines the eligibility for this exemption, which must be reestablished annually.