I have both Xbox one and PS4. I'm playing most on PS4.
PS4:
+better games (up to now, I think this could change with Sunset, Titanfall and Quantum for Xbox One)
+OS is more smooth
+multiplatform games are mostly better than on Xbox
+Voicecontroll works surprisingly good.
- Wifi chip is not as powerful as the Xbox and seems that a lot of people(like me) had to change to openDNS to have full speed.(this should not be necessary as it wasn't necessary on the PS3)
- Need more apps.
-Still no MP3, MP4, JPG and Avi support
- Personally I have a bug with Sony Music Unlimited. The PS4 turns off after approx 45minutes with an error and needs to check the HDD. Up to now only way to get around it is, to turn off the function of auto standby/off!
-DS4 battery needs to be improved
Xbox one:
+Xbox Live as from what I see is good
+Nice feature with HDMI input
+graphically improvement compared to Xbox360
+OS is more smooth compared to XBOX360.(but up to now not so smooth as PS4)
-Up to now no real games worth playing. (ok DR3 is really cool, but for the rest I'm not impressed)
-Personally I still have a problem with the Blu-Ray player as sometimes my games don't come out etc.
-Up to now no support from most european cable companies/setup boxes with Xbox one
-Xbox Live needed for online play.(I know Sony changed their policy on this, but still for most functions, apps and games it's still not needed to have ps+)