So I've decided to go with Tag for my first project. I haven't started actually coding (will start that after this post and throughout the week), but I've laid out the roadmap for how my code will be organized.
I'll have the main class where setup() and draw() are called, which will contain the networking logic and the logic for players colliding with each other and with stationary objects.
My program will have two classes outside of the main class: Player and Obstacle. Player will contain the logic for player movement and starting location, and Obstacle will generate objects at random points.
I hope that planning out my programming ahead of time will help make the process smoother. More updates to come as I start coding.