I'm a little weird in that I believe in animals autonomy. If they don't want handling that's their choice unless there's a real need, like illness, moving coops, or going for sale.
When I first move them into the coop, I force them to roost. It's a safety issue IMO, height keeps them safe from small predators like rats. So they squawk mean names at me, but I grab them and stick them on the roost as many times as needed for them to get it (timing it for enough darkness they want to stay put, but enough light that I don't need a flashlight).
This would be an ideal time for you to look them over. Right on the border of dark. The urge to roost at bedtime is strong enough they shouldn't escape when you open the door. Night chickens are totally different to day chickens
If you go after your birds in the day and they get away, you're basically teaching them to run away from you.
I like to just sit with my birds. I don't want lap chickens, but I bring out a folding chair some days and spend time watching them. They get curious too, and some come up to visit me. Even the sweetest go through a long "Don't touch me" stage. But since they know I won't just grab at them, they still come close.