My personal preference is the PS4. The xbox one is more geared towards entertainment as a whole, and not gaming. One of the big reasons I don't like the xbox one is the Kinect. The voice commands are fairly bad. I would try to play NFS and there would be absolutely no sound in my apartment other than the game itself, and somehow Kinect picked up the word "map" and would constantly pull up the map which resulted in my car continuing to drive off into some object and I would crash, and lose all my points. It's a cool feature in theory but not that great.
Another reason I prefer the PS4 is because the streaming to Twitch has been part of the console since it's launch, and even then it was so smooth, and incredibly easy to use. The Xbox one just launched twitch streaming a few days ago, and I have yet to try it out.
And the biggest reason I love PS4 over the XBONE is the fact that with the PS4 I can watch Netflix/Hulu WITHOUT having to pay for PlayStation Plus. With the xbox you must pay for Live before you can access your other SUBSCRIPTIONS with Netflix and Hulu. I don't think that makes much sense to pay a subscription to watch my subscriptions. (Micro$oft).
Each console has it's ups and downs, but my PREFERENCE is the PS4.
I have both consoles so if you have specific questions let me know!