Boyd-Munce made one senior appearance for Glentoran in the NIFL Premiership before moving to England in 2016 to join EFL Championship club Birmingham City.
He played four matches in the Southern League Premier Division South and, according to senior development coach Richard Beale, found it an eye-opening experience.
Manager Pep Clotet fielded an inexperienced team for the visit to Portsmouth, and Boyd-Munce came into the 3–0 defeat as a second-half substitute, replacing Jude Bellingham after 81 minutes.
[13] In November 2020, new head coach Aitor Karanka gave Boyd-Munce a difficult first league start, playing out of position at left wing-back directly marking AFC Bournemouth's in-form winger David Brooks.
[17] In June 2021, reassured as to his future by manager Lee Bowyer and director of football Craig Gardner, Boyd-Munce signed a two-year contract to remain with Birmingham City.
[20] He started the next day's FA Cup third-round tie away to League Two club Mansfield Town, scored his side's second goal after 14 minutes of a 3–2 victory and, according to the TeessideLive reporter, made a positive contribution both in and out of possession in the hour he spent on the pitch.