Nebraska Homestead Exemption. Nebraska Homestead Exemption Application, Form 458.Nebraska Homestead Helpline: (888) 475 - 5101. If you're a veteran moving to a different state, you'll want to know what exemptions you'll have to look forward to. Learn more in this post. A statebystate guide to VA property tax exemptions, deductions and credits available to former service members with VA disability ratings. This exemption is available to veterans disabled in military service, their unmarried surviving spouse or minor orphans. If you're a veteran applying for the exemption, you must fill out the Property Tax Exemption Application for Qualifying Disabled Veterans form. For the past 20 years, the number of veterans in the United States has been dropping. The Nebraska Homestead Exemption program is a property tax relief program for qualified individuals who own a home in Nebraska.