Dizzy Heights is a fairly straightforward obstacle course that features lots of spinning platforms. The best advice we can give is to follow the direction a platform is rotating, because that will always be faster than to try and run the opposite way around. Then you have some balls rolling towards you. Use the paths between the blocks to avoid the balls, as they'll knock you over. When the path splits two ways in the middle of the course, both are fine but the right-hand side is ever so slightly faster given how the platforms are spinning.
If you fall off, don't count yourself out! You'll be on a lower part of the stage but can easily keep going and get back on the main path.
You'll reach a part where you climb a slope and will see three giant spinning platforms. Make sure you jump here, as there's a gap you need to clear. There will be large balls that will knock you down if they hit you, so stick to the sides as you climb the rotating platforms.