It is difficult to help you with such a broad question. There are many ways to approach your project, and we do not have any tutorials for an application like that. I suggest reading this forum post about getting technical help and then asking more directed questions.
Since your project is complex, I suggest breaking it down into smaller parts like getting the Maestro servo controller to work with your servos using the Maestro Control Center or UscCmd (the Maestro's command-line utility) before adding more devices to your setup.
By the way, from your pictures, it looks like you are supplying power from your Raspberry Pi USB port to the servos. According to the table under the "What are the power requirements?" FAQ on the Raspberry Pi official site, the maximum total USB peripheral current draw for the Raspberry Pi 3 is rated for 1.2A. I do not know the maximum current draw for each of your servos, but a good rule of thumb is to budget 1A per standard RC hobby servo, so you might consider powering the servos from an external power supply instead of the USB port on your Raspberry Pi. You might also consider posting a wiring diagram of your setup, because it is hard to see how everything else is connected from your pictures.