[Silound]

Contact animal control first. Some species of skunk are endangered, so killing one is a federal felony.

Skunks can be trapped and tranquilized (to prevent spraying) easily, and removed to another location more appropriate for their living. They don't really like pepper, mothballs, or ammonia, so there are tons of age old recipes you can cook up and spray around your yard to keep them away.

Considering the discharge of a firearm within a city, incorporated area, or residential area is typically a crime of some form, I would not recommend attempting to eliminate it yourself.