I often use a baffle, just something like a plastic lid from a shoe box when I need to get to an hungry/fiesty animal. In my left hand, I hold the baffle above the animals head or between their head and my right hand, and use my right hand to grab the animal. Once I get them picked up, I put the baffle away and handle the animal as usual.

You should not need to touch the animal at all with the baffle Works great on those animals that have hair-trigger feeding responses and think its lunch time everytime the draw is opened