In 1955, Kidd was hired as the assistant basketball and head baseball coach at Madison Central High School in Richmond, Kentucky. In August 1956, A. L. Lassiter, the superintendent of Richmond city schools, offered Kidd the position of head football coach at Madison-Model High School. Kidd accepted and spent the next six years as coach of the Royal Purples. Model discontinued its partnership with Madison after the 1960–61 school year and Kidd coached Madison for one season, 1961–62 school year, before moving to the college level.