Movement

Movement is measured by physical distance from the center of your heroes base to where you are going. Both the hex and square grids are just for easy drawing and reference as they are dry erase. with my tales every 5' of movement is 1" you can move, 20' move = 4", 30' = 6".
It dont matter if your going straightways or sideways or kittycorner or up or down or any which way. 
Movement and range is a straight up 1" per 5' Meaning a range of 100' is measured as 20" from the center of your models base.