Welcome to Duke City Primary Care – Now Accepting New Patients! Our Experienced Primary Care Doctors & Medical Staff Provide High Quality, Compassionate Care for Adults & Children of All Ages. Call Us Today to Schedule an Appointment. At Duke City Primary Care, we offer same-day appointments! No need to wait weeks for an appointment with your primary care doctor, simply walk-in to our office in Albuquerque, New Mexico. We look forward to serving you!