Nebraska Homestead Exemption. Nebraska Homestead Exemption Application, Form 458.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. For more information or to apply, Veterans should contact the County Treasurer in their county of residence. Nebraska County Treasurer Directory. This program provides real estate tax exemption for veterans meeting certain criteria related to their service. Disabled Veteran License Plates: Veterans with disabilities can receive free Disabled Veteran license plates. Additional exemptions based on income and disability. 7. Qualified totally temporary disabled veterans and their surviving spouses.