Our adventures in the Luncheon Kingdom continue...
Climb Up the Cascading Magma
If you explore the lava in this area, you'll find out that there are vegetable chunks all over the level that you can run into for regular coins. You'll also find cannons that will launch you into the air if you jump into them. You'll be able to see the launch path before you press A to launch yourself, and you can get out of the Lava Bubble mid-flight to get to other places in the flight path if necessary.
After heading towards the Meat Plateau in the north end of the kingdom, it's time to head towards the northwest corner. You'll need to get in the lava as a Lava Bubble and take a cannon over a gap that takes you to the lava to the west of the village. From here, you'll be able to platform your way to the next area you need to get through. You'll also have to go through an 8-bit area before entering a cave and going up a lava waterfall with a Lava Bubble. Watch out for the logs!
Near the switch that unlocks Power Moon #2, there are some mountains you can climb up for some Hint Art. This shows Poochie underwater in the Resort Kingdom. Remember this for later.
Power Moons
4. Climb Up the Cascading Magma - In the cave leading to the northwest corner of the kingdom, you'll need to leap into an unlit lantern with a Lava Bubble. Doing this will give you a Power Moon, open up the path ahead and advance the plot.
8. Atop the Jutting Crag - Near Salt-Pile Isle, there is a cannon you can jump into as a Lava Bubble that is surrounded by small hill-like mounds. Jump into the cannon and launch yourself, and when you're above the mountain in the middle of the launch path, get out of the Lava Bubble and land on the mountain to get this Power Moon.
11. Surrounded by Tall Mountains - There is a blue-green mountain near the Meat Plateau, and you can long jump to it and find a sparkle that you can ground pound for a Power Moon.
16. Golden Turnip Recipe 2 - In the area where you'll find Power Moon #8, there are a few turnips. The one in the center is golden. You'll want to open up a path back to the village with a Hammer Brother before you attempt this. Grab the turnip, then jump your way to the village while avoiding the enemies and their attacks. Throw the turnip into the blue stewpot, and you'll get the Power Moon.
18. Luncheon Kingdom Timer Challenge 1 - Above the Odyssey is a scarecrow. Throw your hat at it and wall jump your way to this Power Moon before time runs out.
19. Luncheon Kingdom Timer Challenge 2 - There is a scarecrow where you fought Spewart. Throw your hat at it, then use your long jump to get to the key and then back again to get this Power Moon before time runs out.
29. Alcove Behind the Pillars of Magma - As you're going for Power Moon #4, there is a gap in a wall near the lava geysers. Inside is a Power Moon.
30. Treasure Beneath the Cheese Rocks - There is a stack of cheese rocks near the Odyssey; breaking them with a Hammer Brother will reveal a Power Moon.
31. Light the Two Flames - There is a Fire Bro near the Odyssey. Take control of him, then take him to a dead with two lanterns. Light the lanterns with the Fire Bro's fireballs for a Power Moon.