They look at credit scores, rental history, and even court records to make a decision. Being honest in your application can really help.Our screening process includes thorough background and credit checks on each potential tenant to assess the likelihood the tenant will fulfill the lease terms. As mentioned above, it is required that landlords need to write up a list of screening criteria for each rental property. Their screening process includes criminal background checks, credit history reviews, and eviction records searches. Our screening process is not just based on a credit score only - we take a comprehensive look at the overall applicant. Please respond promptly so the background verification can be completed as quickly as possible so as not to delay the approval process. Tenant Screening Dallas Texas. Make sure that you get the best renters for your Dallas rental property with a tenant screening today. 1. Rental History: Last two places of residency history must be provided in order to process your application.