I attach the front to the back pairs on each side after winding them up. It's really easy to do and greatly reduces the problem of the last foot or so of lines twisting together. Apart from that I just run the lines out as normal. I prefer to run out the lines because I can check everything every time I kite.
I tried the Brett Lickle method for a while. It felt too complicated to get it right every time you pack the lines. You get it just a little bit wrong once and it's more pain than it's worth.
I also tried various line keepers with slots. Yet another useless piece of stuff to lose and mess around with. I could quote two philisophical points: Keep it simple, and do things deliberately and mindfully. (sorry about that one

).If you embrace setting your gear up perfectly each time it will always be right, and you'll be more efficient at doing it.