Could put all these consoles?, i will run from ps3 via dvd and two questions what is PS2 FDS and how to skip the tutorials from the beginning?

edit: wrong title PS3, PS2, PS, PSP

To skip the tutorials, you have to play on medium or hard. I have made a tutorial for the entire run if you're interested: https://www.speedrun.com/the_lion_king_simbas_mighty_adventure/guide/ucvwk (I have to fix a few gifs, but the guide is pretty complete).

Concerning consoles: I'll add PS3, but I don't think PSP natively supports playing PS1 games without iso modification or emulator. If I'm wrong, please show me how, both for my own personal knowledge, and so I add it in the list of consoles.

originally I think the PSP didn't have support for PS1, just PSN content

I think the PS3 will have a small advantage because of the hardware, I will do some level runs to test.

I have PS2, PS3 and PSP I'll see if I can run on the PS2 w/ FDS.

Usually PS2 with Fast Disc Speed activated is faster than PS3. You are free to try however, as I do not currently own a PS3.

Furthers notes on this as I have gained knowledge. Consoles that can access the PSN (PSP/PS3/PSTV) can play some PS1 games, if they're available through the PSN Store. In those cases PSTV is always the fastest due to digital load times. PSN support is also getting dropped for older consoles, apparently. Luckily for me, none of the PS1 games I run as of now are available through the PSN, so I won't have to deal with that can of worms.

As for the PS3, only the very first generation (japan exclusive), has physical hardware to play older games. 2nd generation uses partial emulation (slower), and backward compatibility was eventually dropped. Anything Gen3 and above is pure unofficial PlayStation emulation. See: https://en.wikipedia.org/wiki/PlayStation_3_models#Model_comparison