That's really cute!
Well, to remove the bar (all of it) you'd just need this code:
As for adding the links into the Flash...I only have MX so I can only tell you using that version.
You create your button symbols, one for each, and then on each button you'll attach an action:
on(release) {
getURL("http://www.gaiaonline.com");
}
The url (which has to be in quotes) will be the url to whichever page the button is for. The easiest way to get the correct url is to click each link before you remove the bar and copy the url of that page.
That's a simplified tutorial (since I'm assuming you know how to use Flash), but if you need more details, let me know.