Hey, guys!
First of all, huge thanks to Worldlyy and Fantom79022!
I used their routs while speedruning.

So, I just finished the run on honour mod, any% on my ps 4.
It took me quite some time, because I'm kinda new to the speedruning.

About the run:
1) Wall-clipping works just like on PC. To do it you have to press O while you are throwing something.
2) Quicksave-quickload also works. Even the one on the final boss, when you need to do it while you are jumping.
3) Piramyd teleportation also work, BUT. In the last segment, when you throw it, while inside the Lady Vengeance, to get to the final boss, you'll be stoped by the invisible wall, maybe there is a way to bypass it, but I didn't find one. So, that's where I used Fantom79022 glitchless speedrun.
4) The croc fight. Weird situation, I never actually kill the croc myself. After second teleportation it will kill Prince and walk away through the Fort, where it'll be killed by Dallis. So, I get the glovs anyway, but have to wait in Fort, till it will be killed (but maybe if you'll run on easy difficulty, you won't have this troubles).
5) Just for a safe purposes I also used mirror-stat glitch. Get all stats on max just to feel a bit more comfortable.

I don`t have any video of my run, because it was hard to call it a real speedrun. I was following Worldlyy guide step by step, therefor i spent near 3 hours to finish the game.
As I said, I'm familiar with speedruning, but never did it myself before. So, if you guys have some tips on how can I record my speedrun, I'll be gald to hear it!
I'll try to improve my run.
I also hope that this thread will help anyone who suggest on speedruning this amazing game, but wasn't sure of it.