How to fill out a residential lease application in Texas? List all personal details accurately.You will complete a rental application and pay a non-refundable application fee to cover the cost of verifying your credit, rental history, etc. Your rental application is your opportunity to stand out amongst other applicants, so pay attention to spelling and grammar. Applicant's Current Address: Apt. No. (city, state, zip). Save time and keep your records safe and easily accessible with RentSpree's online rental application for Texas. You can use this form letter to demand that the landlord return your application deposit. A rental application is a form that provides the information necessary for a landlord or property owner to determine a tenant's creditworthiness. Rental applications are free for landlords with Zillow Rental Manager, so you can easily verify tenants and fill your vacant rentals online.