You can try Dropbox! It's very easy, it's free, and testing your site is only one of the things you can use it for. Now, it doesn't run any server-side scripts and it's not exactly optimal for actually hosting your website on, but for testing purposes of client-side things it works great.

You can watch a video about it here. If you decide to sign up for it, it'd be awesome if you could use this link (I'll get extra space for my account ), and you can read a quick guide on how to host your pages here.