Strader's professional broadcasting career began as the radio announcer and public relations director for the Adirondack Red Wings of the AHL from 1979 to 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 Blues. Strader was joined in the broadcast booth by former NHL player Tyson Nash.
In July 2011, Strader left his position with the Coyotes to accept a full-time job with NBC/Versus. He joined the NHL Dallas Stars as their TV play-by-play voice at the start of the 2015-2016 NHL season.
In June 2016, Strader was diagnosed with cholangiocarcinoma, a fairly rare and aggressive form of cancer of the bile duct. During a break in his treatment, he returned to the broadcast booth on February 18, 2017, a 4-3 overtime home win against the Tampa Bay Lightning. After the game, the Stars saluted Strader at center ice.
Strader broadcast all five games of that Dallas home stand including one on NBC. In April 2017, he also broadcast games in the first round Stanley Cup playoff series between the Washington Capitals and Toronto Maple Leafs on NBC networks.
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 Brian Engblom on the network's third hockey broadcast team. When ABC got the NHL broadcast network contract in 2000, Strader worked for them as well. He also called NHL games for Fox in the mid-1990s, and the Stanley Cup Finals for NHL International from 1997-2015.
Strader died on October 1, 2017, at the age of 62 at his Glens Falls home, after his battle with bile duct cancer.
The Hockey Hall of Fame had announced earlier that year on April 17 that Strader was the 2017 recipient of the Foster Hewitt Memorial Award, but his actual induction ceremony was scheduled months later on November 13. At the time of the announcement, Strader stated that he was looking forward to the ceremony, saying that it was the greatest honor he had ever received. Due to his death, Strader's sons accepted the award posthumously at the November induction ceremony on his behalf.