Full-back Zane Kirchner crossed twice while Morne Steyn kicked 21 points as the three-time Super Rugby champions showed they will again be a force this season.
The Bulls had already sealed a bonus point before half-time as Dean Greyling, Werner Kruger, Bjorn Basson and then Kirchner all crossed before the break.
Kirchner added a memorable second after the break, when he regathered his own chip kick, to put the gloss on a dominant display after another score from substitute JJ Englebrecht.
The only sour note for the Bulls was their ill-discipline when the game was won.
Francois Hougaard was red-carded on 63 minutes for a tip tackle on Robert Eberssohn, following which Adriaan Strauss scored the Cheetahs only try, while Jacques Potgieter saw yellow late on.
The Cheetahs were first on the scoreboard when Johan Goosen kicked over the first of his 14 points for the day.
It was one-way traffic thereafter though as first Greyling went over, despite the attention of a couple of tacklers, on 10 minutes before Kruger also scrapped his way to touch down.
The home side's resistence began to loosen after the half hour and Basson was able to touch down under the posts after the Bulls recycled the ball through their backs before a break from the returning Wynand Oliver helped set up Kirchner's first just before half-time.
Steyn kicked over a couple of penalties after the resumption before scrum-half Hougaard was given his marching orders for a tip tackle.
The Cheetahs then finally crossed through Strauss moments later but it was a brief respite from the dominance of their visitors.
Englebrecht increased the damage when he intercepted an errant Phillip Snyman pass and ran in from his own 22 before Kirchner's brilliance allowed him to touch down for his second on 71 minutes.
Potgieter was sin-binned in the closing stages for a shoulder charge on Heinrich Brussouw, but it hardly took the gloss off the Bulls' win.