Concord Primary Care Services is a provider and CLASS services agency based in San Antonio, Texas.oncord Primary Care Services, Inc. is dedicated to providing good quality, home-based, client focused care. Our Board of Directors set a vision that cultivates a strong, dedicated, and professional work force that will provide astable and compassionate compendium of care.Concord Primary Care Services, Inc. was established in 2001 as an agency dedicated to the provision of good quality, home based, client focused care. Concord Primary Care Services, Inc. provides comprehensive and compassionate care using attendants that are dedicated to the care of our clients. We perform monthly criminal history checks on all our attendants, as required by law.