Bulmer joined The Nomads in October 2014 with 35 Welsh Premier League appearances to his name already following four seasons at Airbus and a brief loan spell at Rhyl. The Chester-born 'keeper signed for Manchester United as an 11 year old, spending five years there, before joining Queens Park Rangers. A regular member of The R's U18s side, he was loaned to Hayes and Yeading before being released in December 2010, and a few months later joined Airbus. Bulmer missed the entirity of the 2012/13 season with a shoulder injury and made his return playing for Airbus against The Nomads in ahead of the start of the 2013/14 season, in the inaugural Flintshire Cup.

Bulmer arrived at Deeside Stadium following the news that Jon Rushton would be out injured until 2015 through a back injury, however only made one appearance at Deeside Stadium and was forced to retire due to a recurring shoulder injury of his own.