Skunks are a problem that must be controlled, not because of their habit, but because of their disease potential. Their very existence living near you exposes you and your family to a risk of rabies too high to permit, in my opinion. They will live under your barns with your cats. Horses, dogs, cats, can all catch the rabies, and then pass it to you before you even know it's present on the place. If it were not for that, they're not bad critters. They are about the tamest of any of them; they'll wander right up under your crossed legs at a campfire. Very friendly cat-like animals. So sad we have to aggressively separate ourselves from them.
Here's what I've found about trapping them. Chicken eggs, lightly cracked, are perfect bait. Attracts skunks or opossums or raccoons, without attracting your barn cats. A sliced apple is another good choice.
Once in the trap, approach quietly, with a soft sing-song voice. Talk to it nicely. This makes you less threatening than silence. Gently lay a blanket over the entire cage. This puts the animal back into the dark, which calms it. And, the blanket will take the spray if it occurs, rather than it hitting you. Now, leave the area for a while, and let the animal settle. When you come back, you might find some of the blanket has been pulled in, but it will have finally settled.
Now, while again talking and/or singing to it, pick up the cage softly and set it in the back of your truck. I've never had one spray during this process; again, they're very amicable creatures if they don't feel threatened.
Next, drive to a distant point where you can set the cage on the ground and pull the blanket back from the door side of the cage. At this point you have a choice, to kill or not to kill. I prefer kill, because relocation of an animal into others' territories is an urban legend of nicety. The fact is, the others in the territory will probably kill it, and you have unknowingly tortured the animal you sought to protect. So, when I open the cage and it exits, I stand at ready with a shotgun and get it on its exit, being sure that I'm on the upwind side. Even if it releases its musk, it will not have attached to you, and you can quietly drive away without incident.
On a side note, how to drive a skunk out of a garage without it spraying? I use a propane bottle with a weedburner attachment, and release propane into the corner where it's hiding. Of course, I have to be very attentive to not permitting any high concentration buildup, and any ignition exposures. But when the propane removes the skunk's ability to breathe comfortably, it will begin to migrate to cleaner air. There are safer non-flammable options, but those are usually not readily available to the average farm owner.