Are you an online gamer? Xbox360 blew the PS3 outta the water when it came to minimal lag, higher framerate, and overall better online services. It also had slightly better graphics.
The PS4 and the Xbox One are better than the Xbox360, however, because they are next gen systems. When it comes to these two, they are literally EXACTLY the same in every aspect aside from controllers (of course), and console exclusive games.
I'd advise you to either choose the PS4 or the Xbox One and choose based on the system's exclusive games. PS4 has The Nathan Drake Collection and the Last Of Us. The Xbox One has the Halo series and TitanFall.
Well I still have Xbox 360 and PS3. I haven't bought the newer systems. But i use my Xbox for music more than my games lol. I be having the house boomin!! People all down the street can hear the music i have playin. I mainly used my PS3 for GTA or Movies, but its been ackin up lately. With school, I barely have time for either