I think you were saying I should use 4, one going from the red wire to the blue wire, red to pink, red to yellow, and red to orange. Is that correct? In what orientation? (I have not used diodes yet...) Is my picture correct in connecting +5V directly to the red wire of each motor? Thank you!
That's all correct. Connect the cathodes of the diodes to the red wire and the anodes to the other wires. Almost any type of diode will do in this application, provided it is rated at not less than the coil current (100mA). I suspect that you don't actually need the diodes, because the flyback energy is probably much lower than the avalanche rating of the TPIC6B595; but it's better to be safe.