What is the best way to organize media equipment and all of its cords?

In a cabinet or bookshelf near the source. Use cord organizers and cord tubing to hide the cords so they look nice.

Keep heavier items low, leave a clear walking path, and make sure sharp tools or hazardous supplies are secured appropriately. A simple label on each bin or shelf saves a surprising amount of hunting later.

My final check is practical: can you find what you need quickly, put it back just as easily, and see when the space is getting full? If not, simplify the categories or move the storage closer to where you use it. An organizing system should make life easier, not become another chore.