How to fill out a residential lease application in Texas? List all personal details accurately.The typical rental application process involves several steps and can vary based on the property and management. Below is a quick overview of the process. Download this free Rental Application Form to occupy a rental property from a landlord. Simple rental application form for residential use in both PDF and Word document formats. Our templates are both fillable and printable. A Texas rental application enables landlords to obtain the background information of lease applicants before authorizing a residential tenancy agreement. Continue reading to learn the basics of renting an apartment and renter tips to help you get approved. How to fill out a residential lease application in Texas?