He played in the English Football League with Wycombe Wanderers, Oxford United, Crawley Town and AFC Wimbledon.

Prior to retiring, Bulman was the oldest active player in the English Football League; he is the current host of a daytime show entitled Talk Of The Town.

Bulman started his senior career at Ashford Town, before joining Second Division side Wycombe Wanderers in 1998, where he would remain for six years before being released in 2004.

He joined AFC Wimbledon in 2014, helping the club win promotion to League One via the play-offs in 2016, before returning to Crawley Town in 2017.

[4][6] Bulman made his debut as a late substitute in a 1–1 draw at home to Bristol Rovers on 31 August 1998, and within 15 seconds of coming on the pitch, he scored as Lee Jones' clearance had deflected off his buttocks and into the net.

[14] After making 15 league appearances on loan at Crawley, scoring thrice,[15] he left Stevenage after his contract was cancelled by mutual consent in early December 2007.

[34] He made his debut for the club in their first match of the season, starting in a 2–2 draw at home to Shrewsbury Town on 9 August 2014.

[42] In June 2019, at the age of 40, Bulman was offered another one-year contract by Crawley;[43] at that point he was the oldest active player in the English Football League, ahead of Kevin Ellison, Aaron Wilbraham and James Coppinger.

[12] In January 2019, then manager of Crawley Town Gabriele Cioffi praised Bulman's fitness despite his age, stating that 'his performances are always competitive' and that 'he's an all-in player'.