I've only played through the tutorial as I had to return to work...
Wall running is extremely fluid and felt natural just while in the tutorial
Double jump is cool
U can grapple onto really high ledges (by jumping)
Your "smart pistol" locks onto enemies given enough time
- I dont know how this works in multiplayer against humans yet
The graphics on XB1 are AMAZING and it has been stated that "low res" textures are what we got for quick downloading which makes me extremely excited for how its going to look.
Overall, there is a learning curve on how to move around... but it will feel VERY close to home for FPS player.