Is there a jailbreak for 6.1.3 iPhone 4S or iOS 7 beta 3?

I would like to know and if so where's the website.

There won't be a 6.1.3 jailbreak until they release the actual ios 7 jailbreak. (so don't expect a jailbreak till later this fall)

There's no jailbreak, but if you just want to install iOS 7, you can register your device's UDID at http://www.instantudid.com/.It's $5, and then you can install it before everyone else.

You can jailbreak 6.1.3 at iphonunlocker.com, and download iOS 7 at http://iphonunlocker.com/ios-7-beta-download/