My variation, borrowed from others here and practiced over time...
Fold the kite first with bridles inside, tips to center and repeat until handles-length wide.
Put a couple of water bottles on the trailing edge.
Go back to the handles, put them together with the kite killers wrapped around right at the bend in the handles and hold the handles by the bottoms
with the kite killer leashes under your fingers.
Wrap the lines aroound the handles once and then start a figure-eight wrap around the clump of kite killers.
Walk slowly to to the kite as you wind, keeping slight tension betwwen the handles and your winding hand, as well as you and the kite.
When you get to the kite, just before the toggle attachements, cinch the lines between the tops of the handles.
Replace the water bottles with the handles an roll up in the kite towards the leading edge.
To unwind...
unroll the kite and with one motion remove the handles and put them behind the trailing edge pointing to the kite.
Unfold the kite and secure the trailing edge.
PIck up the handles and start to undwind a few feet.
Sort out the bridles, untwisted, with the mains inside of the brakes.
Continue unwinding with the same hands you wound with, walking backwards or sideways, the exact reverse of how you wound them.
Dont flip the handle is in the air to unwind; use the same hand to unwind.
Walk back witht he same tension in the lines as when you wound.
When you get to the end and it looks like they are twisted, THEY ARE NOT (maybe one). They are just stuck. Spread your arms apart with a handle in
each hand and shake a bit; they will fall apart.
Often I will be able to fly right there without returning to the kite. If they are still stuck, return to the kite and walk back to the handles
between the right and left line sets with a set in each hand, with the main and brake between separate fingers. If your reach snarls at your waist,
wrap one hand around it and push it towards the handles as your walk . When you get to the handles, the one or two real twists will be obvious and
you can flip the handles around.
The only time I get true twists are when I unpack the kite between sessions such as for cleaining or something else. I find it worth the effort in
such a case to unwind, straighten and re-wind. It's easier in the calm of the back yard with a cold beer nearby, than straightening them out in the
field or on the beach with the wind blowing, wishing your were flying instead of cussing.