They won't actually be asleep once you are there and picking them up, just calmer then usual.
What country are you located in? I could have a hunt around online and see what I can find if you like?
I don't know about how to tell if they have worms or not, so will not comment on that other then could you get a vet or someone tell test their poop?
But pills are very easy to give to chickens, I wish I could get a wormer in pill form.
Just go out after dark when they are sleeping, and take...