Strader's professional broadcasting career began as the radio announcer and public relations director for the Adirondack Red Wings of the AHL from 1979–1985. A two-time New York State Broadcasters Association honoree, Strader was named the AHL's top public relations professional in 1984.
In 1985, the NHL's Detroit Red Wings called Strader up from the farm club and he took over the play-by-play duties, calling TV games on both WKBD and PASS Sports alongside Mickey Redmond until 1996. Strader called games for the Florida Panthers for the 2005–06 and 2006–07 seasons when not calling games for NBC or Versus. Strader was hired by the Phoenix Coyotes on July 2, 2007. He was reunited with his former ESPN and ABC partner, Darren Pang, for Coyotes broadcasts for two seasons. With no television contract in place for Coyotes games, Pang left in 2009 to join the St. Louis Blues. Strader was joined in the broadcast booth by former NHL player Tyson Nash. He broadcast FSN Coyotes games for four seasons.
In July 2011, Strader left his position with the Coyotes to accept a full-time job with NBC/Versus.
Following the death of longtime ESPN broadcaster Tom Mees in 1996, Strader was hired by the cable network to take the vacant play-by-play spot on National Hockey Night broadcasts. Strader was usually paired with Darren Pang on the network's secondary hockey broadcast team. When ABC got the NHL broadcast network contract in 2000, Strader worked for them as well.
He moved to NBC and Versus when they got the contracts in 2005. Strader served as a last-minute play-by-play replacement for Mike Emrick on NBC's coverage of the NHL Winter Classic between the Detroit Red Wings and Chicago Blackhawks on January 1, 2009 when Emrick was unable to broadcast the game due to laryngitis.