Nebraska Homestead Exemption. Nebraska Homestead Exemption Application, Form 458.The Homestead Exemption reduces the taxable portion of your property assessment if you own your primary residence in Philadelphia. The Nebraska Homestead Exemption program is a property tax relief program for qualified individuals who own a home in Nebraska. Additional exemptions are available for seniors, the disabled, the blind, and veterans. In the county you reside to apply for this program. See list included with this checklist. 7. Qualified totally temporary disabled veterans and their surviving spouses. Additionally, every state but Delaware offers a version of property tax relief for veterans or disabled veterans. If you're a veteran applying for the exemption, you must fill out the Property Tax Exemption Application for Qualifying Disabled Veterans form.