@ Blue:
Unless your upload is a lot better than mine, you are not going to be able to run a fast website (click it to test your internet upload/download speeds):



Now, you could probably serve plain text easily. Images on a speed like that get a little interesting, though. Really, from home, the only speeds that are worth hosting a website with images on is a SDSL (Symmetric Digital Subscriber Line) or SHDSL (Single-Pair High-speed Digital Subscriber Line) connection. The most common DSL is ADSL (Asymmetric Digital Subscriber Line). That is, unless you want to start getting something at the level of a T-1 line or above, but that gets insanely expensive for someone not a business.

Best option: Get a hosting account from a hosting company (Media Temple, Slicehost, and Linode are my favourites) and let them deal with all of what I said above.