Well yeah i was going to install an emulator on my PC so i can play the game and rip the audio that way. But if there is ANOTHER alternative then i might give that a crack instead.
IIRC PSF (Playstation Sound Format) players are literally PS1 sound system emulators, and PSF is just the sounds data isolated from those games with some identifying metadata slapped on. Once you isolate the sounds data, you need to understand music, electronic sound processing, and a programming language enough to convert the PSFs to some other format.
I don't think it's that easy though, because I've never seen a PSF to FLAC converter. There's probably some additional custom work to be done with each game (related to looping and conditional playing/stopping/effects), since they probably have some custom code to handle music.
I've only heard of like 10 people doing any music related romhacking, and the person best equipped to handle these questions (Neil Corlett) is long gone and has been for about 15 years.
Get Associates of Applied Science in Computer Science, Computer Information Systems, and Sound Engineering from a properly equipped community college or vocational education school; or just download the ripped music.