Although he often worked as a pianist, Billy Moore is best known for being a talented swing-based arranger. He started out his career near the top, replacing Sy Oliver (when Oliver joined Tommy Dorsey) as the chief writer with Jimmie Lunceford's Orchestra. Moore was not exclusive to Lunceford for long and he later wrote for Charlie Barnet, Jan Savitt and Tommy Dorsey. He became a music publisher in the late 1940s and soon was moving away from jazz. Moore relocated to Europe in the early 1950s where he wrote music for French groups. He was the musical director and pianist for a pop vocal group (the Peters Sisters) from 1953-60. Later on Moore was the staff arranger for a Berlin radio station and worked with the Delta Rhythm Boys in Europe. He settled in Copenhagen in the 1970s where he continued working as a freelance arranger. Oddly enough for a writer, Moore never led any record dates of his own.