Nebraska Homestead Exemption. Nebraska Homestead Exemption Application, Form 458.You may reach their office at 402-444-6617. If you need an application, or have questions, you may contact our office at: 402-444-7060, option 4. Applicants must also submit a resume and cover letter. Homestead exemption applications must be filed annually between February 2 and June 30. Application forms are typically available beginning February 2. Douglas County has additional exemptions for 62 years of age or older, disabled veterans or their surviving spouses, and totally disabled homeowners. Applications are generally processed in seven to ten days if the application is complete upon arrival at NDVA. Nebraska Homestead Exemption.