You can either use Freemcboot on your ps2 , get action replay for your ps1 or put CFW on your PS3 or make iso's out of your discs and play with with an emulator.
I personally got a PS3 with CFW that I only use to play Imported  PS1 Backups ( Games from Japan & USA )
You don't need a PAL tv in order to make your games work 

So your options are
* Emulate 
* PS3 With CFW ( put iso on HDD and use Multiman)
* Freemcboot with ps2
* PS1 Chipped or Action Replay
I recently bought Biohazard 3 and wanted to play it on my PS1 ( that is chipped) 
but I could not boot up the game so I needed to use action replay but cba to use it all the time ( it's a code you need in order to make the game work)
So I used magic iso and booted it up on my PS3 With CFW 

I hope this answers some of your options/questions