And so long as you have a decent computer (256MB ram, a video card that does OpenGL, and a processor at least 900MHz) you'll be able to play all your PS1 games on your computer.
In fact, you'll be able to play with better graphics, higher resolutions, and close to no load times, especially if instead of using an actual PS1 CD in the tray, you just use an image of the game that you either made yourself or downloaded.
But yeah, if you don't want to bother with Breaker Pro (you'll probably need to buy it, if you want to try it, you can try downloading it, and converting the Breaker Pro CD to DVD, but it probably won't work) the easiest way is to play the games on your PC.
Let me say this, once you get through all the hassles of setting up the options, and once you get games running, trust me, it'll be so much better.
Instant saving and loading anywhere, any time, because instead of saving to memory card, in save points, you can simply save the state of the game, exactly where you left off (it'll be like you never turned the game off).
Anyways, it's really up to you, but I highly recommend doing it like that.
