the wind actually makes a big difference for me.

In stronger winds just start going into a larger radius and 'umbrella' your wing. The larger radius gives you lots of time to slowly turn your wing over your head and switch handles. Once I switched handles I do move the wing actively to the new side while still going downwind. It did help me a lot to really move the wing to the new side (left side in right turns and the other way around)
Now finish your turn quickly and ride on (still switch).

In light wind it is more difficult. The wing tends to fall down because your speed is the same as the wind speed once you are going downwind. A tighter turn helps. But then you have to switch handles quicker.