Not yet got specifics, but basically:
Dual Core processor
512 MB video card (or 2 256 that can be synced)
2 gigs of RAM (might just take the 2 out of my current comp, I still have it's 1 gig stick somewhere)
Already have 2 SATA hard drives I was going to put into my current comp that I can hold off on a bit longer
Definitely getting a better heatsink. One that isn't a fan (my current one is and by now it won't ever go at full speed, which is apparently too slow for my BIOS because it screams at me each time I reboot).
I also don't want to spend much more than a grand. The less, the better.
Oh, and waking up to a leg cramping blows.