Yes I do that as well, mostly during the week. I also manage a club some nights during the week as well. During the weekends I often help out at a wildlife rescue center.
I don't think we ever had to deal with giant centipedes. Not such a common pet, nor that easy to find when it escapes I suppose. No one ever give one to use either (most exotic animals get dumped by us because the owner doesn't want them anymore). We have had many different types of lizzards, snakes (bot venomous and stranglers), many kinds of exotic spiders and we've had scorpians as well. I think we may have had a praying mantis once, but no centipedes thank god. They are nasty. A spider is easy to handle, snakes usually are of the strangler type and aren't that difficult to handle either. Well if you take you're safety measures. A scorpian can easily be cathed in a small cup. But personally I wouldn't really know how to handle a giant centipede, I guess with two of those sticks but... Nah I'd rather handle the rest.
Birds are quite okay for me. Most of them can be hold easily. Well not all. A Secretarybird is quite a pain I've heard.Blue Tits have a nasty bite for their size as well.
Blackbirds tend to lose a lot of feathers. They also defecate on your table.
Starlings are nasty and very noisy if you need to treat them.
Peregrines of all ages have incredibly large talons.
A great way of testing your veterinarian is having him/her handle a frightened cat. Mine slaughtered an inexperienced vet.