Moore played in 50 games during his college career, recording 76 tackles, one sack, two interceptions and three pass breakups.

[5] Moore was selected to play in the 2010 Georgia Athletic Coaches Association (GACA) North-South All-Star Football Classic as part of the South Team,[6][5][7] and the 2011 U.S. Army All-American Bowl as part of the East Team.

[5] In March 2010, he was named the top defensive back at the Atlanta National Underclassmen Combine.

[21][9][3][22] He later received offers from other schools, some of which included Auburn, Clemson, Memphis, North Carolina, Miami and Tennessee.

Zierlein also stated that Moore was a "Box safety who doesn't have the speed, range or cover skills to be a reliable, NFL back-end defender.

[31][32][27] Moore made his NFL debut and only appearance of the regular season on January 3, 2016, against the Jacksonville Jaguars, recording one special teams tackle.

[27][33] He also played in the team's AFC Wildcard game against the Kansas City Chiefs on January 9.

[33][34] Due to an injury to strong safety Quintin Demps, Moore made his first start on October 16 against the Indianapolis Colts.

During the Packers game, Moore started at free safety in place of Hal, who was active but did not play.

[43] Hal returned as the starter at free safety for the team's Wildcard round playoff game against the Oakland Raiders on January 7.

[44] Moore played in, but did not start, the game against the Raiders and recorded one solo tackle, two pass breakups and a fourth quarter interception as the Texans won by a score of 27–14.

[36][45] Due to strong safety Demps having suffered an injury early in the first half of the Raiders game, Moore started the Divisional round playoff game against the New England Patriots and recorded seven solo tackles, one tackle assist and one pass breakup as the Texans lost by a score of 34–16.

[48] During the third game against the Patriots, Moore dropped an interception and gave up the game-winning touchdown as the Texans lost by a score of 36–33.

[57] He recorded his first career regular season interception on quarterback Derek Anderson in a 37–5 win over the Buffalo Bills.

[60][61] Moore signed with the Ottawa Redblacks of the Canadian Football League (CFL) on March 2, 2020.