Pruning trees is important to remove hazards, improve structure, and provide clearance. It should be done at the proper time of year and using proper techniques like the three cut method to avoid included bark and promote compartmentalization. Pruning types include structural pruning to establish a strong structure, crown cleaning to remove deadwood, and crown thinning to improve health and appearance while following the 25% rule. Topping is not recommended as it can damage a tree.