Access to Affordable Housing for Veterans Act of 2019 This bill provides additional notifications to service members regarding home loans available through the Department of Veterans Affairs (VA). The bill requires a Federal Housing Administration mortgage notice to a veteran to contain comparative rate and fee information about VA home loans. The uniform residential loan application developed by Fannie Mae and Freddie Mac must include a check box to indicate that the applicant is a veteran, the statement "If you are a veteran, you may be eligible for a VA mortgage," and a place to acknowledge such statement. Preseparation counseling for a service member prior to discharge from active duty must include information regarding the authority of a member to use an honorable discharge certificate as a certificate of eligibility for a VA guaranteed housing loan or to request a specific certificate of eligibility for such loan, and counseling on responsible borrowing practices.