I own destiny on both ps4 and Xbox one and Xbox one wins for many reasons. Controller battery life is 3x that of ps4. Team invites on ps4 have a longer process, ps4 doesn't have split screen for messages, ps4 has to reload destiny if you switch to another program in the background(Xbox one you can watch Netflix and still resume the game because it's true multitask) headset on Xbox one has mute, more comfortable and better sound.
I bought the White destiny ps4 bundle on release too but Xbox one is just so much better
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Well u have mute on ps4 as well and for sound its deepens on the headset it is the same plus u dont need to buy a 40$ connector to the ps4 and every headset just saying
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My opinion is the same, xbox experience is much better!