Unless the motor armature (the part that rotates and interacts with the electromagnets) turns very slowly, you need a fast-switching H-bridge for each electromagnet. And some means to control the back-emf that results when the current is switched off or reverses direction.
You will probably need some feedback of the armature's angular position to determine when to "fire" each electromagnet and to control the rotation speed. A microprocessor is indicated to perform the timing, but discrete combinatorial logic is also possible. Do some due diligence to find out what others have done in this field to avoid duplicating the mistakes of others and re-inventing wheels that have long ago been perfected. There is hardly anything new under the sun when it comes to motors.
Are you planning to use permanent magnets on the armature to react with the magnetic field produced by the electromagnets? Or is this a variable reluctance design?
Variable reluctance motors show great promise in terms of efficiency and simplicity, but at the expense of greater complexity in switching the magnetic field.
I was briefly involved with them in the 1990s as part of the U.S. Air Force
More Electric Aircraft (MOE) initiative. They may be ready for prime time by now, but I've not kept up with the technology. Seemed to me at the time that they needed a compact nuclear reactor to power up the aircraft. That wasn't going to happen because President John F. Kennedy canceled the
Aircraft Nuclear Propulsion Program in 1961,,, for political reasons, not because there had been no progress made. So good luck with your new motor.