Note, if possible, the size of the skunk you want to trap. Trap the smallest first if you need to remove several skunks of varied sizes. Use the smallest trap possible, as a skunk cannot spray if it can't raise its tail.
Purchase a smaller-sized trap (usually a medium). Bait the trap with cat food or dog food. Tie a long string to the door so you can keep some distance while releasing the animal. Place the trap along the skunk's usual path. Cover the door end with a heavy towel. Set the trap door.
Move toward the skunk in the cage, quietly. Approach the end covered with the towel. Drape another towel over the rest of the cage. You can now move the cage.
Grab the string to open the door. Do not move or agitate the released skunk. Wait for the skunk to run away before collecting the trap.