You really should use a different thread as this one discusses PS3 backups, not PS2. Anyway, just use DVD Decrypter, Nero, or similar software... the PC/Tech Support section has a STICKY thread on the process.
For PS2, most DVD-R burners these days will work... a few are DVD9 media, but not the majority.
For PS3, I really wouldn't recommend burning the images to Blu-ray discs yet primarily because:
1) Blu-ray media is quite expensive still
2) they likely will need to be patched prior to burning them
3) there is no way to play PS3 back-ups on retail consoles yet
4) when there is a way, it may be via HDD so no burning would be necessary
As for which PC drive reads PS3 discs, currently the only confirmed one I'm aware of is the one I own- the Lite-On DH-401S.