It'll take you longer to watch this video than it will to set up Remote Play between your PS4 and your PlayStationVita. Here's how it goes:
That's really it. We'll go over all the neat things that Remote Play does for both systems in our upcoming PS4 hardware review, but at a bare minimum you can play PS4 games on the pooper, so that's good. Just remember the proper bathroom game system handling protocol if you choose to use your Vita in there.