Pls, I need a list of web hosting sites?

I'm currently designing a website. Can anyone help with me a list of VERY GOOD web hosting sites? Are there free ones? Also, is there any way to add google search or any other search engine to a website? Thanks so much.

For free try freehostia, else you can buy web hosting from http://aplis.net/ , I am hosting my website with aplis.net .

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