There's a button that you have to click on the bottom of the fitting room window to enable model manipulation. After that, L1+Right Stick to control the camera, left stick to move the model.
Triangle.
Click on the price, the numbers should turn green, then use the D-Pad.
Hold L2 or R2 to highlight whichever half of your cross hotbar, then click the touchpad. This will enable hotbar edit mode. From there, just use L2/R2 to select the skill you want to move, and then R1 to cycle through the hotbars.

Another tip is that clicking the touchpad will cycle through HUD elements (Chat Box, Duty List, etc.). What direction it will cycle in can be changed in character config.