I play Destiny on PS4 and XB1, the differences are that PS4 has more content and exclusives, the user interface is slicker and faster, loading times in game are faster and the server connections are more reliable (on XB1 I get an errors twice a day, on PS4 it's once per week). PS4 graphics are slightly better with effects and shadows but since Destiny is a cross platform game you wouldn't expect much difference. PS4 controllers are also better in that they are higher quality although the new XBOX Elite controller looks good.