I would have to say the PS4. Unlike the current X-box, the current PS3 can go on the internet if you already have internet set up, whereas X-box charges an additional fee to go on the internet, even though you already have internet.
Ps4 FTW haha the ps4 actually has a better processing unit meaning better graphics and all sorts of goodness but whatever you choose im sure youll love it there both fine consoles (but ps4's better) but hey im biased so hahah
Let the console wars BEGIN! It depends on if you have had a previous console. If so it's better to stay in that console family. Secondly it depends on you're game preference. If you play CoD (Gets earlier DLC) and Battlefield get the Xbox one. If you prefer racing games go for the PS4. Both have exclusive games if you're into that, Halo, Killzone, Forza, Gran turismo etc. I'm not going to tell you my preference because I personally like both.
This is merely a opinion based question. Both of them have their own advantages and disadvantages. For example Killzone: Shadowfall is exclusive to ps4 while Titanfall is exclusive to xbox one. Xbox one come at a slightly higher price but also got kinect while ps4 is cheaper but doesn't come with ps4.
In the end, it depend on you. I choose ps4 but that is because I like thhe console exclusive games that ps4 got, although xbox one is also good.