Prune diseased, damaged or dead branches less than 1 inch in diameter at least 8 inches into live, healthy tissue with lopping shears. Make cuts just above a lateral branch or bud at a 45-degree angle facing out toward the lateral branch or bud. Sterilize pruning tools between each cut by soaking the blades in a solution of 1 part bleach to 9 parts water for 15 seconds.
Remove branches larger than 1 inch in diameter with a three-cut method. Make the first cut 1 to 2 feet from the trunk and underneath the branch with a pruning saw, cutting about halfway into the branch. Cut into the top of the branch about 3 inches past the first cut, causing the branch to break off. Make a final cut 1/4 of an inch beyond the branch collar, making sure to cut into live, healthy tissue.
Prune branches that block out sunlight or air circulation in the center of the tree back to a lateral branch, removing them 1/2 of an inch above an outward-facing bud at a slant.
Dispose of any removed plant material in a plastic trash bag, along with any fallen leaves. Sterilize pruning tools in the solution, and wipe the blades with a cloth dampened in household oil.