In Texas, landlords must obtain written consent from tenants before conducting background and credit checks. Get Texas tenant screening background checks now!Apartment tenant screening services include credit, eviction, criminal and more for all of Texas. As mentioned above, it is required that landlords need to write up a list of screening criteria for each rental property. Most landlords do criminal background checks on tenants. Make sure to ask the landlord about their background checks and tenant selection criteria. What Does a Tenant Background Check Consist Of? Navigate tenant background check in Texas with our guide. Learn how comprehensive screenings protect your property and meet state laws. Some landlordtenant laws in Texas outline specific requirements in the tenant screening process that homeowners should know about.