H Hornblower said:

I have disposed of a couple of nocturnal coons with a big
Havahart trap. I live in the city , but by a railroad track with a
variety of wildlife. I'd never thought about what I'd do if I caught a
skunk in the thing until I saw one in the yard one morning. What a
mess that could be.
Any ideas?

Walk up to the trap holding a tarp or blanket in front of you. Slowly lay the
tarp over the trap. The tarp-draped trap can be picked up and moved (gently)
to a shady spot while you make a decision.

Are you going to release the skunk, or 'dispose' of it?

You can release it back onto your own property by carefully opening the
still covered trap and letting the skunk find its way out. Moving skunks for
release is not a good idea (illegal in many areas) as they can carry rabies.
However, if you have a pickup truck and a not-too-bumpy route, you could
transport before release. (Keep the tarp on the trap while transporting.)

You can 'dispose' of it either by paying a professional to take it away or
kill it yourself. The least smelly way to do this is to gas it. (Now, I haven't
done this myself, only read about it.) Cover over the trap with airtight
plastic, sealing the edges with soil. Pump in carbon dioxide gas. (Or,
lay a cake of dry ice on the trap before sealing it in plastic.) You can shoot
the animal by transporting it somewhere that shooting would be allowed.
Let the skunk out of the trap and wait until it is a good bit away before
shooting it. The skunk will definitely let out a blast as a parting gift. (The worst
skunk-stench incident in my neighborhood involved someone killing a skunk.)

I paid to have a skunk taken away (in a trap which I could not easily rig to
allow the skunk to leave on its own) and released another back onto my
property (different trap, which could be opened easily). I was rigged for
rabbits and am not sure why the skunks entered the traps. It seems likely
they just blundered into them.

Skunks are lovely creatures in their own way, and more beneficial than
harmful.
--
Pat in Plymouth MI

Any technology distinguishable from magic is insufficiently advanced.
(attributed to Don Marti)