pick the chicken(s) and set the meat aside.
melt the butter in a large pot (like a stew pot)
slowly whisk in the flour. this should make a thick paste.
slowly whisk in the stock. it should stay thick until the end of the first four cups, maybe the beginning of the fifth/sixth cup.
add the cream or half and half. you should have a very rich and creamy soup now.
add the chicken, give it a stir
add your veggies. yep, all of them.
salt and pepper to taste.
That's it! Let it cook for another half hour or so if you used frozen, about 15 - 20 min if you used fresh, or until everything is cooked and hot.
Set in a bowl with a biscuit on top or on the side, or crumble crackers over to make a "crust".