I'm not here to tell anyone they aren't doing the right thing if they have problems culling. As I said, it's one of the hardest things I do and I put it off as long as possible - usually too long. But, taking one to a vet doesn't necessarily make it more humane nor quicker.
One can do it quickly at home for no money.
If I had to pay to do it, I couldn't keep chickens.
A friend of ours took their pet to the vet to be euthanized they paid $75. It was a fish.
I draw the line at fish, lol.