Since you aren't telling me what kind of power supply you have now, i'm guessing that you're working on yhr ATX system that you have in your sig.
To use an AT power supply, you need a lot of room in your case... and somehow mount that power supply in there. They'll have screw holes for mounting in the back, next to the fan.. just plug them in with a regular power cable and mount the switch somewhere in your case, and add a button (or buy a new one from radio shack)..
You could try using an ATX too, by combining the power on leads (thin green wires in the main motherbaord connecttion plug). That would be scary though. It'd be like using one remove for two TV's, eventually they'd go out of sync. If you wanted to use two ATX (I have a spare, you might also) you'd probable want to open up the case of the second one, tap the switched line lead of the first, and bring it into the second so they both function from the incoming power (and switched) on the fitsr one. Just make sure it's fans get airflow, and cut off / de-solder the leands means for the motherboard. I'm not really sure if they switch the AC incoming power or the post-transformer / rectified power, but either way, just tap into it. Hopefully uou don't overload anything. 🙂
It's be a fun experiment (I've pulled apart a few power supplies for fun), but if you don't get what I'm saying or need diagrams, don't bother. You may want to take a basic electronics class so you know soldering and can recegnize the componantry inside a PS (it's be handy if you knew where the electronic 'switches' for the power were). Otherise, if you don't mind frying the sh!t out of an old computer or something it could be a good learnign experiance. You get nothing from a class that your own project, a couple radio shack how-to books, and a few jolts of 120 wont give you. Weeee.