After spending several years in the Nordiques organization, principally for their Halifax Citadels AHL team, he was traded to the Washington Capitals prior to the 1993–94 NHL season.

During his four seasons with the Capitals, his hard-nosed style of play would make him a fan favorite, as he would not hesitate to fight players much bigger than he was.

Although Kaminski played only 286 games in the AHL, less than four full seasons' worth, he stands in the top 50 in all-time career penalty minutes for the league.

He got his first head coaching position in 2002 with the Long Beach Ice Dogs in the West Coast Hockey League where he stayed for two seasons before being released.

[2] In October 2016, he took the head coaching position with the Fresno Monsters of the Western States Hockey League, a Tier II junior team.