Career
He is currently manager of VfB Admira Wacker Mödling. Nicknamed Tschick, Baumeister signed his first professional contract in 1974 with Austria Wien, only for him to stay with them for 13 years and winning 8 league titles. In 1978 he played in the Union of European Football Associations Cup Winners Cup Final which Austria lost 4–0 to R.S.C. Anderlecht.
In 1987 he moved to city rivals Admira Wacker before retiring at LASK Linz and SV Traun.
He earned 39 caps in total, scoring 1 goal.