Nebraska Homestead Exemption. Nebraska Homestead Exemption Application, Form 458.The 2023 Nebraska Homestead Exemption Application is now available. The form must be filed with the Sarpy County Assessor's Office between Feb. The Nebraska Homestead Exemption Application, Form 458, must be filed with the Sarpy County Assessor's Office between February 2 and June 30, 2022. Douglas County has additional exemptions for 62 years of age or older, disabled veterans or their surviving spouses, and totally disabled homeowners. The Homestead, Flat Elderly, Veteran and Blind exemptions require a ONE TIME application.