My last two desktop computers have come from
TigerDirect.com, and I haven't been disappointed. They sell both fully-built computers and what are called "barebones" systems, which means they're missing a few key parts (like a video card). I think both computers I bought were missing a video card - the first time I bought it like that because the video card was the only decent thing in my old PC and the second time I did it because it was cheaper.
A barebones system may be a way to compromise on your "don't want to buy pieces and put it together myself" because most of the essentials are there, you're just missing one or two big things - and they usually tell you what you're missing. But if you don't want to worry about it at all you can buy one of their pre-built computers.
I like TigerDirect because they usually have good deals, and they don't have all the nonsense of a brand name. (By the way, don't buy Dell if you ever plan on upgrading pieces inside - I once had to buy an $80 power supply for my Dell - something that should cost maybe $25 - because they used a nonstandard motherboard and so I needed to get specifically a Dell-branded power supply.)
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