Bemiller was drafted as an offensive lineman by the Buffalo Bills in 1961, when he immediately became their starting center,[1] 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 coachBuster 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.
In 1964, Bemiller was switched to right offensive guard, playing between veteran center Walt Cudzik and right offensive tackleDick Hudson, when the Bills won their first AFL championship. They repeated in 1965, when Bemiller became an AFL All-Star at right guard, still next to Hudson but with a new center, Dave Behrman. In 1966, under new head coach Joe Collier, Bemiller switched back to center, playing between Shaw and right guard Joe O'Donnell. From 1967 to 1969, he remained the starting center but also played left offensive tackle in 1967. In 1968, he played between Shaw and Bob Kalsu and in 1969, his final year, between Shaw and O'Donnell.
Bemiller was replaced the following year by Frank Marchlewski. In his nine-year career with the Bills, he never missed a game.