Complex sentence: Initially he taught HS band, then took over the conducting of the band at Santa Ana Jr. College and later was hired to direct the jazz band and also form/direct the marching band at Cal State Los Angeles.
Split into simpler sentences: Initially he taught HS band, then took over the conducting of the band at Santa Ana Junior College. Later he was hired to direct the jazz band and also form/direct the marching band at CalState Los Angeles.