Your question about linear bearings - do you mean size? If so 20mm on all axes.
What is the plan on the Y ball screw? It goes straight through the Y and Z axis? With that type of layout some people space the YZ away from the gantry and run the ball screw behind. But this weakens it because of the overhang.
A more popular design is the L shaped gantry with the ballscrew running behind allowing the YZ to be close into the gantry.