The console won't be at E3, though - hence, presumably, the absence of fuss over the announcement.
House also confirmed the Neo codename that we reported back in March, and said that it would be released once "we have a full range of the best experiences on the new system that we can showcase in their entirety". It will be "more expensive" than the current model, though no precise amount was given.
A notable quote from House confirms that the new model will not replace the old one: "It is intended to sit alongside and complement the standard PS4. We will be selling both [versions] through the life cycle. All games will support the standard PS4 and we anticipate all or a very large majority of games will also support the high-end PS4."
Edit: An earlier version of this article said that House suggested the console will be out this year. This was incorrect - he was referring to the PSVR headset, which is out in October.