Originally drafted by the Kansas City Royals, he was later traded to the Rays in a deal which also landed former teammate Jake Odorizzi. He had a strong rookie season, winning Rookie of the Year honors and was a big part of the Tampa Bay Rays playoff push in 2013.

Myers attended and played baseball at Wesleyan Christian Academy in High Point, North Carolina. As a freshman, Myers had a .450 batting average and was an all state third baseman. During his junior year, he went 10-0 as a pitcher. After committing to the University of South Carolina, Myers decided to enter the draft instead. In 2008, his team won a state championship.

Myers was drafted by the Kansas City Royals in the third round, with the 91st overall selection, of the 2009 Major League Baseball draft. Myers signed a contract with the Royals, that included a $2 million signing bonus, in August 2009. Before the draft, Myers committed to South Carolina during his junior year and planned to attend the SEC school.

Myers made his debut in professional baseball in 2009, when he batted .369 with 5 home runs in 84 at bats with Royals' Rookie League affiliates, the Idaho Falls Chukars and the Burlington Royals. Myers began the 2010 season playing catcher for the Burlington Bees of the Midwest League, and was named to the Midwest League All-Star team. On July 1, 2010, the Royals promoted Myers to the Wilmington Blue Rocks of the Carolina League, a league generally considered more advanced than those with which he had previously played. In his Carolina League debut, Myers had three hits, including a two-run single that gave his new team a three-run lead. Myers finished the 2010 season batting .315 with a .429 on-base percentage overall, and totalled 14 home runs, 83 runs batted in, and 85 walks between his time in the Midwest League and Carolina League. He was named to appear in the 2012 All-Star Futures Game. Myers also played catcher during his time in the minor leagues.

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