When dropping to another platform, your best bet is to aim for the middle of it. Take your time and observe how the platforms move first.

You might think that all power-ups are useful and beneficial for you, but the truth is that you're well off without some of them. For example, a power-up that makes you larger is not something you want when you're about to drop to a tiny platform.

Use bombs to get rid of those supern fast platforms. They can be very difficult to follow and use.

When you master the game enough, you can start aiming for the edges of the platforms as it's easier to slide to the next one below it.