What do you already know how to do? How big does it need to be?
http://socket.io/ could do the game server stuff in a browser, if you're good with the HTML and JavaScript.
Wordpress is a popular site management system; it can run on top of
PHP and
MySQL which are probably the most common hosted environments (the "LAMP" stack.)
Other options include
Ruby-on-Rails on
Heroku, or ASP.NET on
Azure, if you have to stay on Windows.
If your site is small, you can run it on a shared hosting account, such as
Dreamhost.
If/when your site grows bigger, you can move it to a VPS or a cloud instance of your choice; anything from
interserver.net $6 VPS slice, to the
Amazon Cloud.
A few things of note:
- That site looks like it's been around for a while, and has had a bit of effort put into it. You can't clone something like that in depth quickly, because the content will be missing.
- The speed by which this can be done varies based on how specific you are on how things will look or work. If there exists a plug-in that does "kind of the right thing," that'll be easy to set up; if you need to tweak the defaults, it will take a lot of time.
- The actual chess game playing / UI is a real application, and developing that is unlikely to have a ready-made Wordpress plug-in. You could perhaps start from
some open source project.
- The cost of a contractor depends entirely on how much work you want them to do, and how good they are. "Off-shore" freelancers at $10/hour typically aren't very good, because if you're good, you can charge more.
- Setting up an empty shell for a site, with many features, is easy. Populating the site with interesting content, and getting users to show up, and building a community, is really hard work!
- I have tried each of the services I list above, except for the open source chess game, and found them to be a real thing, capable of delivering. There are many others; some of which are good; others of which aren't.
