Slide a dark cloth over the trap and then pick the trap up just don't do a lot of jarring around and most of the time the skunks wont spray what they cant see.
I check the trap when I first get up (normally around 4:00 a.m.) and I've always relocated the ones I've caught overnite in the trap prior to daylight so maybe they are somewhat calmer in the dark......@rickm I use a old, oversize, thick, dark navy blue beach towel and your way is the same way I've relocated around six skunks and (knock on wood) I have yet to be sprayed.