Skunks are a tuff one, at least for me. Ive read other posts where others have had petty good luck removing or dispatching the weasels. But in my experience, no matter what Ive done, it usually gets stinky.
The first skunk I caught: I woke up to the wonderful smell of skunk, so I figured I had one in the live trap. The smell was still pretty strong, and I guessed it must have sprayed fairly recently, and that I might be safe if I worked fast. So, I decided I would take a blue tarp and cover the trap; then I would relocate. It was going well I almost had the tarp over the trap, and I got anxious and I tried to quickly throw it over the trap, and it got a really stinky again. Looking back, if I would have stayed calm and gently laid the tarp I might have gotten away with it.
The others I have caught, I have just shot them in the trap, and out of the 5 or so skunks I have caught, they have either sprayed in the trap, or sprayed when I shot them, but I think they all have sprayed. Maybe someone with more experience will have some better techniques for you?