Create a Facebook interactive App based on my Website

I would like an app making very similar to - [login to view URL] . I would like the app to be linked to my website but I think it has to be also separate as an independent Facebook App?> I don't know, I'm no expert here. All features should be the same as my website but I want to use the app to spread around Facebook easier.. So giving people free credits for sharing to friends and things like that on Facebook will help the app and my site spread faster. The link I put above does this very well, although a little too much pushing to share everything. I don't want to harass people who join. THere needs to be a payment system like on my site integrated through the App, it basically needs to be my website but with free gifts for sharing the app and website on Facebook with friends ect, ect. My website is [login to view URL] If you think you can make a better app than - [login to view URL] . based around my website then you're what I'm looking for.