SOrta hoping you found a good solution. I've got a handful of hard disk drive motors, 3 wire, that I'd like to just turn on and off, no speed control necessary.
If you have a "3-wire" motor, its likely one of several different possible configurations. If it is a brushless motor, then it could be hooked in a "wye" pattern (3 coils with one end each being a wire, and the other ends connected together centrally - "Y", see?), or possibly a "triangle" pattern (where the 3 coils are wired end-to-end, with the wires being from the "vertices" of the triangle formed). If you check the resistances between the wires, both will look the same (in the first instance, you would see the double resistance of two coils, in the second, a single coil resistance - regardless of how you place your probes). Some "wye" pattern motors typically bring out a fourth connection from the "central" connection of the "Y" pattern; if that isn't the case, sometime the "case" of the motor can be this point, so ohm out with your meter on the case as well to check that.
Other times, what the 3-wire motor may be is actually a 2-wire motor (ie, standard DC motor) with a hall-effect or other speed sensor on the third wire, which is used for feedback to control the speed of the spindle.
Generally, CD-ROM drives are going to use cheap DC motors, while hard drives use brushless phased motors - but this isn't always the case, so you will have to do some investigation and testing to figure it out ultimately...