The PS4 really more designed to play on. The Xbox tried there already cover the complete multimedia package, which you can already see the home that completely My Things must be adapted.
But Sony makes it simple and easy, almost intuitive, since Microsoft has a little more frills which one only has to look at more closely.
Among the games I have noticed no difference. Liquid on both console and good graphics.
The drive is quieter in the Xbox, it is on the PS4 but not annoying.
The online service is a bit faster at Microsoft, especially the download time.
On the sizes of the consoles ps4 is a lot smaller and more compact.
On the whole, I have to say the PS4 is great and makes a lot of fun but the Xbox is not so good.