I used to have so much fun with Sports Champion on my ps move. But XBox Kinect seems to be cool. I've experienced both. It feels better with PS Move for most games (baseball, volleyball, tennis, ping pong...). The PS Move controller works really well and does not require much space. There is also an equivalent to Kinect which is PS Camera and work in a similar way.
Most baseball games are not ps4/xbox one exclusive as they available to both console. People generally prefer ps4 for its higher quality performance