I created a pretty consistent strategy:
When they're slow, make sure to start at about the first block (counting from left to right) from the right platform (you have to be on the lower 2 platforms) when the first cherry explodes. And when you go right fall down a little then double jump back to the left, DON'T go to the left platform, just drop again and to the right. Repeat until the fast phase starts (I know it sounds hard but it's not really. The only tricky part is starting right)
On the fast part: In this part, you're gonna have to use both platforms (just let yourself fall in the gap and then double jump, like everyone else does). but DO NOT turn when you get to the edge. Pick any big cherry that is coming from above, and change your direction about half or 1/3rd (haven't really counted) of a second after it explodes. Make sure to pick one that's gonna explode BEFORE you fall off the edge and die.
Here's a vid, it even includes last phase skip
youtu.be/VvWaqSbBKGM?t=192