Moore, a 6'1 point guard from St. Petersburg, Florida, immediately entered the starting lineup upon arriving at UNF. As a freshman during the 2013–14 season, he averaged 12.5 points and 2.6 assists per game – both team highs – and was named the Atlantic Sun Conference Freshman of the Year. As a sophomore, Moore led the team to its first NCAA Tournament berth and was named first-team All-Atlantic Sun. In his junior season, Moore averaged 19.8 points and 6.0 assists per game and was named the Atlantic Sun Player of the Year. Following his junior year, Moore declared his eligibility for the 2016 NBA draft, before ultimately choosing to return to the Ospreys for his senior season. In his senior year at North Florida, he averaged 23.8 points, 3.1 rebounds, 3.9 assists and 1.1 steals per game. Moore finished his college career with 2,437 points, which is the most in UNF history and 2nd most in Atlantic Sun Conference history. On February 26, 2017, Moore was named Atlantic Sun Player of the Year, becoming the third student-athlete in ASUN history to secure back-to-back ASUN Player of the Year recognition.
After going undrafted in the 2017 NBA draft, Moore joined the Denver Nuggets for the 2017 NBA Summer League, where he averaged 9.3 points and 1.6 rebounds per game. On July 15, 2017, Moore started his professional career with the Italian team Consultinvest Pesaro, signing a one-year deal. On October 8, 2017, Moore recorded a season-high 29 points, shooting 9-of-13 from the field, along with four rebounds and three assists in a 102–95 win over Reggio Emilia. He was subsequently named LBA Round 2 MVP. In 22 games played for Pesaro, Moore finished the season as the LBA second-leading scorer with 18.7 points, to go with 3.7 rebounds, 2.1 assists and 1.2 steals per game.
On August 16, 2018, Moore signed with the Israeli team Hapoel Tel Aviv for the 2018–19 season. On October 6, 2018, Moore recorded 24 points in his first Israeli League game, he shot 9-of-13 from the field, along with three rebounds and four assists in a 100–81 win over Hapoel Eilat. On November 10, 2018, Moore parted ways with Hapoel after appearing in six games.
On November 20, 2018, Moore signed a deal with Italian team Auxilium Torino. On January 13, 2019, Moore recorded a career-high 30 points, shooting 12-19 from the field, along with six rebounds in a 102–98 loss to Pesaro. In 23 LBA games played for Torino, he averaged 15.9 points, 2.3 rebounds and 3.1 assists per game, while shooting 40 percent from three-point range.
Nanterre 92 (2019–present)
On July 23, 2019, Moore signed a one-year deal with Nanterre 92 of the French LNB Pro A. He averaged 14.2 points and 2.4 assists per game. Moore signed a one-year extension with the team on June 16, 2020.
