I'm starting at the end of a flight as that is when your lines are untangled. How you wind them up determines how much trouble you will have setting up the next flight. TRUST ME!
After landing the kit inverted, we lay out handles around the stake with the top lines at the stake and the bottom lines pointing left and right respectively. That is how we always stake our lines.
We then walk to the kite, turn it right side up, which unwraps the line sets.
We lay the kite forward on it's leading edge, hold the now inverted kite against the wind with a knee, and untie the left line set, larkshead them together, then untie the right line set and larkshead them together.
We then fold up the kite and put it in it's sleeve.
NOW...here's a little trick we learned that really keeps the sets straight. We put one end of the kite through the left line set and the other end through the right line set, pull out the slack and set the kite on the ground.
Then we go back to the handles, undo the lines, larkshead the sets together and put one set in each slot of the winder.
Now we hold the winder in our right hand and walk toward the kite, holding all of the lines in the left hand, winding round and round as we walk toward the kite. We wind fairly tight, but NOT in a figure eight.
When we get down to the kite, take the line sets from around the kite, finish winding, being careful to not let the sets wind around each other, and wrap the bungie around. Having them held apart by the folded up kite really helps.
Now, the kite end of the lines is on the outside of the winder.
When we set up, we attach the handles, stake them as described before, and unwind. When all unwound, take the left set in the left hand, the right set in the right hand and spread the sets apart. Usually there is no wrap. If there is a wrap, put one set around the other and pull. It that doesn't do it, go the other direction.
Once the sets are separated, I put the left set on the ground and separate the right set, untwisting if necessary, then the same with the left set.
Set up the kit, attach the lines and fly!
This method not only makes set-up and take down fast, it reversed the lines every flight, spreading the wear. And......you don't have to carry your kite while you wind up your lines.
So now you know. And we were going to keep it a deep dark secret. Oh well.