How do I distribute power to a multi-component electrical system?
This is a standard approach and is how the world is powered for the most part. Everybody's home and place of work is wired in parallel on the grid. Within your home every light and socket is wired in parallel on the domestic supply. In your car every 12 V lamp, motor and solenoid is wired in parallel on the car battery.

All you need to do is calculate the worst case current draw - typically all motors on simultaneously under maximum load - size your wiring appropriately and use an adequately rated power supply. i.e., Get a power supply of the required voltage output and a current rating greater than or equal to your maximum calculated load.