They'll probably make it official at E3 next week but in the meantime, we'll rely on the French branch of online retailer Amazon.
Called the "Ultimate Player Edition," it retails for €579, or about $790. The listing says the bundle will be available on July 4. Now, even though there's no such listing on Amazon's North American website, Twitter user Wario64 has posted a scan of next week's Best Buy ad, which shows off a $560 PS4/Vita package. It includes both systems as well as a copy of Borderlands 2 for the handheld.
This might be the only effective way to move Vitas right now.