The 17-year-old centre scored a try and five goals and there were landmark tries for Ade Gardner and Jon Wilkin as the newly-crowned world champions became the first team to beat the Bulls.
Saints picked up from where they left off against Brisbane Broncos at the Reebok Stadium with a brilliant first-half display that made a mockery of their previous league form.
Bradford hardly knew what had hit them as injury-hit Saints struck with three tries in the first nine minutes to seize control at Knowsley Road and were 28-0 up before the visitors rallied.
The Bulls stay top of the table, shading surprise package Hull KR on points difference, but were well beaten and also have a worry over hooker Terry Newton, who was put on report for a late tackle on Wilkin.
Saints were forced to bring in Tyrer for his first start, with Willie Talau switching to a pack shorn of four regulars including Paul Sculthorpe, while another teenager, Steve Bannister, made his home debut from the bench.
But the supremely confident champions made light of their injury woes to turn on the style from the kick-off to run the full-strength Bulls ragged.
It was one-way traffic from the moment hugely impressive hooker James Roby got prop Nick Fozzard romping through a gap in the visitors