I bilieve they do (I know they offer apps with domains that you can setup), but not sure if it's good or bad.
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About Sites.Google.com I don't think you need to pay for that and you don't get acesse to a control panel most people use like cPanel. I think its somethig like a script that is hosting it. like freewebs script.
I think that bluehost is one of the best for web design hosting. I've had them for 5 years now and host 5 different websites on there. I tried 1 and 1 when it first came out but never used it since. bluehost has an OK interface. Its not the best but it works for me.
Google web hosting is basically a site builder, they do not offer web hosting specifically.
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