Right now I have a bunch of motors (in blue on the diagram) that I believe are connected all in parallel. I tried hooking them up to the Arduino (3.3V-red and GND-black), but can't seem to get the motors to run. I think it might be a current issue but am not completely sure. The motors can only take 3.3V and I think they need a minimum of 230mA to run (I attached a picture of the motor information if needed). Is there a way that I can increase how much current that I am putting into the circuit? Or is there another issue aside from current that is preventing the motors from running? I was thinking about using capacitors but don't know how to include them in the circuitry. I'd prefer to keep the configuration in parallel for the practical purpose of the rest of the motors working if one decides not to.
26 motors x 0.68A(start) = 17A if using 3V, allowing 10% drop from 3.3V means the driver RdsOn is 0.3V/17A <= 176 mΩ.
It also means your power supply can deliver 17A @ 3.3V or has a Supercap with 100ms start time, with dV/dt=0.3V/0.1s=3=Ic/C so for 17A C=17A/3 =~ 6 Farads with ESR ~ < <<100 mΩ such as this but now you need to regulate the charge current.
Back to the drawing board on what you really need to do.
Arduino drivers are 25~50 Ohms.
If I count right here, you have 26 motors that each require 680mA to start. This is far, far beyond what can be supplied by the arduino's on-board regulator.
The regulator on the arduino board varies depending on type and manufacturer, but as the arduino doesn't consume that much power it's reasonable to assume it might use a cheap 78xx or LM1117-x, both of which can't provide more than about one amp. You're asking that poor regulator to give more than seventeen times its rating! You need a much higher current power supply to have any hope of starting all these motors at once. Even running them all at once takes over six amps.