I would like to get a pc running linux. I just need something basic
but reliable and don't want to pay too much or deal with hardware that
doesn't quite work with linux. Please provide a list of several
reputable sellers.

Are in US and are willing to buy nationally? 

  Easiest, and cheapest source is Wallmart:

http://www.mirabilis.ca/linux/buy-linux-computer.html
http://www.desktoplinux.com/news/NS7710891606.html
http://www.technologynewsdaily.com/node/951

Chances are that your local computer shop will install Linux for you
when you buy the hardware on your choice of hardware: IBM, HP, Dell ..

http://news.zdnet.com/2110-1040_22-5869094.html

Here are few international sites:
http://www.linuxhq.com/vendors/systems.html

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Clarification of Answer by hedgie-ga on 29 Dec 2005 06:59 PST

Sorry for the typo.

It should start:

Are you in US

Yeah, compatible hardware is VERY important ... I have a P4 and GLLY
board. My frontech internal dial-up modem did not work when I
installed SuSE 8.2 and I returned back to Windows ...