Peter has had a professional hockey career of sixteen years in the National Hockey League. Drafted out of the Toronto Marlies Jr A Hockey Club as the first pick, 41st overall, in the second round of the 1983 NHL Entry Draft by the Philadelphia Flyers.
Peter went straight from junior hockey into the NHL. Peter scored his first NHL goal on a power play with the Flyers at 13/01 of the second period in a game against the Vancouver Canucks October 18th, 1984.
On January 16th, 1991 Peter realized a childhood dream when he was traded to the Toronto Maple Leafs from Washington.