It seems very simple to the mouse (or touchpad) to move a tile from the Windows 8 interface. Try the same experiment on the Surface tablet, you will find that it is not as intuitive.
However, the handling is very simple:
1) Tap (touch) the tile you want to move.
2) While maintaining the pressure, make a downward movement. The tile will be seized.
3) Then you can move the tile anywhere you want: