Examine the tree during bloom in the early spring for fairly large branches in the interior that will help create an open-centered tree when removed. Prune back the branches to a lateral branch or trunk with a three-cut method: Cut one-third through the branch from underneath, about 12 to 15 inches from the branch union, then make a cut a couple of inches past the first cut through the top of the branch. Make a final cut 1/4 of an inch beyond the branch collar -- the swollen, wrinkled area at the base of the branch -- with a fine-tooth pruning saw for branches up to 2 1/2 inches in diameter or a coarse-tooth saw for branches 3 inches or more in diameter.
Select unproductive, leafless branches and damaged or crossing branches. Remove the selected branches with thinning cuts using the three-cut method, removing them just above the branch collar at an angle that mirrors the branch bark ridge. For dead branches, make the final cut just above the branch collar of live bark tissue.
Cut off any suckers sprouting from around the perimeter of the tree as close to the ground or trunk as possible.