In his NHL career he played for the Penguins, Calgary Flames, St. Louis Blues, Philadelphia Flyers, and the Toronto Maple Leafs.

He played in Switzerland in 1990 for one season for the HC Ambrì-Piotta in the NDA before moving to the Leafs and then spent ten seasons in Germany before calling time on his playing career in 2003.

Playing for EV Landshut he was the Bundesliga's top scorer and player of the year for 1993–94.

Starting in 2003 Bullard coached the 2nd Bundesliga club SERC Wild Wings, later switching to Austrian club Graz 99ers, before he decided to return to Germany to coach ESV Kaufbeuren.

After these stations he returned to his longtime employer, the Landshut Cannibals, to coach the team for the 2008–09 season.