vermicomposting feeding question

I'm a new homesteader, or at least I'm in the process of getting there.   I've decided to try worm composting in the garden beds.  I'll bury containers with plenty of holes in them in the beds, and filling them as I would a worm composting bin.  

I understand how to feed worms from kitchen scraps.  However, I also have chickens that eat those same kitchen scraps.  Worms and chicken don't eat exactly the same things, but there is a huge overlap.  So my question is how else can I feed my worms?  I'm hoping I can feed them with weeds and what I prune/trim from my plants.  Trimmed tomato leaves for example.  I don't see why that wouldn't work.

I'm used to red wrigglers.  Is there a different type of worm you would recommend if I'm feeding them this way?

Diane said, " I'm hoping I can feed them with weeds and what I prune/trim from my plants.  Trimmed tomato leaves for example.

I see these as some things that can be used.

Also anything that the chickens might not like such as coffee grounds, crushed eggshells, other plant waste, and tea leaves.

Red wigglers are good for composting.  Some kits come with non-native worms that might cause a problem.