I had both and out of the two I would chose the PS4. Granted there arent many titles available for either and each one has its own unique titles (Forza 5 for Xbox, Killzone for PS4 etc) but overall I found the PS4 the better console.
I found the UI on the PS4 a much nicer experience than on the XB1. A major point for the PS4 was compatibility with my wifi and broadband connection, I had nothing but issues with the XB1 (downloads going at a total crawl, took 4 days to download the patch for Forza 5!).
The PS4 is a very compact unit compared to the XB1 and much nicer to look at. The XB1 does come with kinect which did seem cool but the novelty wore off for me pretty quick (plus I couldn’t get the biometric login thing to work).
I don’t regret selling my PS4, but if I was to have the choice of another of the current gen consoles it would be the PS4 again.