I want to host a web server. What is the best ISP for the job?

I want to host a web server from my house, but I don't know what the best Internet Service Provider is for the job. I'd like one that's cheap, but also has good quality and service. I'm currently on Charter and they don't allow hosting residential web servers. Anyone able to help?

http://secure.hostgator.com/cgi-bin/affiliates/clickthru.cgi?id=kierot

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