1920 North Hamlin Avenue Chicago, IL 60647. Phone: (773) 772-7202 Fax: (773) 772-7244. Hamlin Health Center. PrimeCare Hamlin is located within the Marine Leadership Academy, located on the southwest corner of N. Hamlin Avenue and W. Armitage Avenue, 5 blocks east of Pulaski Road. By Bus: #73 Bus (Armitage Avenue) to N. Hamlin..