How do I actually use history.js on my site

I've read all the posts about history.js on stackoverflow including, this, this and this and at looked the source code but as a newcomer to javascript/jquery I'm having trouble figuring out how to actually implement to have html 5 history support and fallback to support html4 browsers such as ie8/9. As I can appreciate the UX benefits from presenting consistent URL's as much as possible, how this solves deep linking and allows for bookmarking I want to implement but I get a bit lost when trying to actually use this on my site.

After adding history.js script to my page

The code to modify as I undertand it is:

    function(window,undefined){

    // Prepare
    var History = window.History; // Note: We are using a capital H instead of a lower h
    if ( !History.enabled ) {
         // History.js is disabled for this browser.
         // This is because we can optionally choose to support HTML4 browsers or not.
        return false;
    }

    // Bind to StateChange Event
    History.Adapter.bind(window,'statechange',function(){ // Note: We are using statechange instead of popstate
        var State = History.getState(); // Note: We are using History.getState() instead of event.state
        History.log(State.data, State.title, State.url);
    });

    // Change our States
    History.pushState({state:1}, "State 1", "?state=1"); // logs {state:1}, "State 1", "?state=1"
    History.pushState({state:2}, "State 2", "?state=2"); // logs {state:2}, "State 2", "?state=2"
    History.replaceState({state:3}, "State 3", "?state=3"); // logs {state:3}, "State 3", "?s