I wanted to share a couple tips and tricks I learned throughout this project. What I wanted to figure out was a way to automatically animate some simple elements all over the screen without having to keyframe everything, knowing I would need more control of them later on. For this to work properly, you need to Separate Dimensions on the Transform property of your layer first.

Code:

min = 0;
max = 3840;
posterizeTime(max/1920+1);
seedRandom(index);
random(min,max);

Code Breakdown:

min = 0;
Set the minimum amount of units (pixels) this layer can move.

max = 3840;
Set the maximum amount of units (pixels) this layer can move.

posterizeTime(max/1920+1);
Posterize the time by dividing the max (3840) by 1920 and then add "1". We are forcing this layers animation to be posterized by the predefined max value, dividing it by half the comp size, giving us a value of "2" and then adding "1" to it. Since there were multiple layers using this expression, I either added a value from 1-5 or subtracted a value from 1-5 to give each layer an extra step of randomness.

seedRandom(index);
Generate a random seed value based on a layers index. What is great about this line is that if a change the layer order, add more layers, or remove layers, this will always generate a different value which worked great for my purposes.

random(min,max);
Generate a random value in between the min (0) and max (3840) on every frame.