Complex sentence: Schmidt played college football at the University of Minnesota and professionally between 1959 and 1967, starting with the NFL New York Giants and moving to the new American Football League's Houston Oilers in 1961.
Split into simpler sentences: Schmidt played college football at the University of Minnesota and professionally between 1959 and 1967. He started with the National Football League's New York Giants and then moved to the new American Football League's Houston Oilers in 1961.