If you can afford it, I would hire a professional pest control company who will humanely trap and release into a less populated area, hopefully many miles away.
You could try to do this yourself but you risk getting sprayed when you have to handle the cage unless you tarp it all around and transport in the bed of a pick up truck. You can buy humane cages that are meant for stray cats OR you may be able to rent a cage like this from your local county Animal Control. They rent them out for people with feral cat problems, I don't think I would tell them you intend to use it for skunk, if the trap gets sprayed, tell them you accidently caught a skunk.
I believe you can bait it with fresh or canned salmon. If anyone knows what skunks find irresistable, maybe they can add to the bait list.
EDIT they can spray 15 feet or more, they are usually solitary and the babies are born during May or June so now would be a good time to trap and release since you should not be removing a mother from its babies. Their natural enemies are Great Horned Owls and coyote. They are omnivores so the salmon should work well, you could also used chicken parts but why give him a taste of what we want him to avoid?