Bemiller was drafted as an offensive lineman by the Buffalo Bills in 1961, when he immediately became their starting center, replacing Dan McGrew, although the latter was the All-AFL 2nd team center in the Bills' inaugural season of 1960. During the 1961 season, Bemiller played in all 14 games, between fellow rookie Billy Shaw at left offensive guard and second year pro Chuck Muelhaupt at right guard, under head coach Buster Ramsey. In 1962, he continued to play center next to Shaw and new right guard Tom Day under new head coach Lou Saban. These three linemen would play together up to 1963, when the Bills tied for first place in the AFL east division, but lost a playoff game to the Boston Patriots.