Most extermination services can help trap and remove squirrels that get into your house, but they have limited ability to deal with outdoor squirrels. They can set traps, perform landscape modifications to make your yard less squirrel-friendly, and offer advice on how to repel squirrels. But exterminators will not b permanently get rid of squirrels without many repeated (and expensive) visits. Permanent results almost always require ongoing efforts by the homeowner.