A major improvement would be to display potential damage you deal, or how much defense/protecttion you will have when you hover over a spot while holding a piece. Currently its difficult to predict how much damage you will take. The new fire emblem game did this, it let you see how much damage enemies would deal to you much easier and what their intents are based on where you move. This made the game arguably easier as you no longer had to keep track of enemy damage and ranges as much, but it made the game much faster and much more fun to play by reducing the amount of calculations you had to do in your head.