You are very safe if you go with either the Pentium 4 or AMD based machine. The Celeron is fine as well and is cheaper but is pretty scaled down in terms of performance.
you should be able to get a machine with the specs you need for about $800. You can even get them at Walmart (http://www.walmart.com/catalog/product.gsp?product_id=2134421&cat=3951&type=19&dept=3944&path=0%3A3944%3A3951)
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