The term EXTERMINATOR'S TARGETS can be summarized by the crossword solutions PESTS, ANTS, and PESKY. PESTS are any type of animal or insect that is considered a nuisance, such as rodents, cockroaches, and bedbugs. Ants are small, social insects that live in colonies and can cause damage to crops and buildings. PESKY is an informal term used to describe something that is annoying or bothersome, such as flies or mosquitoes. All of these creatures are common targets for exterminators.