He's probably going to be upset, no matter what you do. I don't like using gloves when working with a small bird. Gloves dull your feeling, and small birds like 'tiels and budgies are so very fragile.
You should have someone, like a vet or "qualified"
pet store employee show you exactly how to do it if you aren't comfortable bare-handing him.
Learning how to do it, and doing it with gloves on sounds scary to me. Once you get comfortable, gloves shouldn't be necessary. You can hold the birds in such a way that the body is in the palm of your hand, and the head is between your index and second fingers. You can use your fingers to keep him from turning his head to bite you. Hold him in your left hand. You can then manipulate the wings with your right and cut the feathers or hold the wings while someone else does.
Don't try it from my description, get someone to show you how to do it correctly.
Once you learn to hold a bird this way, you'll find it works with trimming nails too, and is just a very safe way to restrain a bird.
bob