As a youth, Muyres was a member of the Saskatchewan team at the 2007 Canada Winter Games, where he played 5th.

At the Canadian Juniors, the team - which also included Colton Flasch and Matt Lang - went undefeated (12-0) through the round robin, and proceeded to win the event by defeating Ontario's Mathew Camm in the final.

After the World Juniors, the team played in their first Grand Slam event, the 2011 Players' Championship where they surprised many by making into the quarterfinals.

In his first season with the Laycock rink, the team would play in all four Grand Slam events, making it to the semi-finals of the 2012 Masters of Curling.

Following the season, the team had accumulated enough CTRS points to qualify for the "Road to the Roar" 2013 Canadian Olympic pre-qualifying event.

At "the Roar" the following season, the team placed fourth, which was not good enough to qualify for the 2013 Canadian Olympic Curling Trials.

The Laycock rink would win the 2014 SaskTel Tankard men's provincial championship, sending the team to the 2014 Tim Hortons Brier, Muyers' first.

In the 2016–17 curling season, the team again won one tour event, the Direct Horizontal Drilling Fall Classic.

The pair was an ultimate success, and would end up winning the event, defeating Colton Lott and Kadriana Sahaidak in the final.

[7] The pair represented Canada at the 2018 World Mixed Doubles Curling Championship, where they won a bronze medal.

They also represented Canada in the first leg of the 2018 Curling World Cup in Suzhou, China,[8] which they would end up winning, defeating the United States (Korey Dropkin and Sarah Anderson) in the final.