You can use Opera's Unite system or a competitor home server system such as Tonido. You should pick a system that agrees to provide the service you want so you don't have to wake up one morning finding your site isn't accessible to the world anymore.
I have found some things with Opera Unite that might be of interest to you. The URLs can get really long. Take http://home.azcrumpty.operaunite.com/webserver/content/az/Blog/Blog.html as an example. This monster URL is configured to use Opera's web server. The word webserver seems to identify the service I am using. The word content can be replaced by the word activity for stats. So two words in the URI are reserved for determining where to retrieve content from. Finally, your content lies beneath all that in the URL and the path can get really long depending on what you do with your conten. Opera's built in web server doesn't offer the robust configuration options of Apache or IIS so CGI, plugins, and other functions are nonexistent.