Core 2 Duo if you can, preferably a 7000 series one as they;ve got 4mb level 2 cache so will fly with a decent amount of RAM. I'd recommend 1gb minimum.
Check out Dell's outlet store if your only after a base unit, mouse keyboard etc with no screen/printer.scanner/dishwasher/shit bundled software
Some cracking deals pop up on there. Also check out the small business section of the store, you might be surprised as they seem to be practically giving away their PC and TFT bundles at the moment, plus usually double memory+ free delivery