When you jump for that first ladder you'll want to shift to grab it, and also turn back so you're facing the way you came from so your momentum doesn't take you off the far side.
Jumping to the fence is easy, just make sure you sprint jump from & to the closest points of the block & fence.
Once you reach the pillar with the ladders, you have a very simple ladder/corner jump. The 2nd jump is the harder of the 3 you'll be doing. You should shift to make sure you don't fall off. Same with the next one, even though it is a bit easier.
Once you've made it to the top, I like to jump atop the walls the fences are connected to so I can get a running jump toward the next platform.
Climb the vines against the wall, shift, and then move toward the pillar until you grab it. This is almost the reverse of the ladders, now you just have to turn the corners & grab the vines before you fall too low. Luckily, even if you fail on this part, you'll get to try it again & again until you get it. Unless you walk off the platform somehow.
Once you're on the back side of the pillar, climb to the top & shift. Turn around & start moving toward the ledge. Once you start falling unshift.
Once you've made the ledge, you jump onto the next set of vines. You'll need to carefully fall into the doorway below. I usually try going a down a little at a time until I finally get low enough to swing in.
Now all you need to do is jump to the save state platform.