Step 1:
The run and double jump power up are easy to find in less than a minute.
Step 2:
You can take two paths through the caves but they both make you end up in a city. Near a statue at one of the lowest points in Vigilant Country you can find the climb power-up.
Step 3:
You have to backtrack up through the city and there is a warp point that takes you to the main hub and your home. Go through the swamps and the stone temple west of your home to find the double jump.
Step 4:
From Juni's house go northeast to the forest and at the top is the purple key which opens up about half the world and the hub warp system that lets you fast-travel to different areas based on how many golden creatures you've collected.
Step 5:
Umbrellas are found underground either in the sunken part of Vigilant City or the underearth levels in the center of the planet.
Step 6:
To find the eye you will have to fly up to paradise and then travel across the cityscapes and coastline to witness the pollution of the planet. After you find it you unlock an area in the house that will show you what zones still have things left to collect in them.
Step 7:
Eventually you will come across all the keys, one of them through finishing the ocean levels, one from the underearth levels and one from inbetween the ice levels and the math area. These will grant you access to the 2nd to last area, the space levels, when you climb the glass tower.
Step 8:
Finally after getting 60 coins you can buy the Hologram from the shop in Crystal Kingdom. It makes many areas of the game and collecting the final creatures much easier.
Step 9:
The final objective is all 50 golden creatures. It opens up the final 3 areas and the only ending, the entrance is the ghost passage from Shreep's house living room.