Haha, It sounds complicated but it really only takes a couple extra minutes and I think it makes everything look nice and organized. I'm a total neat freak when it comes to the barn, but you'd never know it looking at me apartment
Anway, sorry the pictures aren't the best. But what I do is loop the reins over the throat latch and wrap it around the bridle clockwise so the reins end up tucked away in the back. That's just how I was taught to do it. Hope that helps.