Juicer for veggie broth?

[SundayCrepes]

I make my own veggie broth and freeze it in ice cube trays so I only need to thaw how much a recipe calls for.

After I've frozen the broth, I puree some of the leftover veggies and freeze them for later cooking, but I don't use that much of the pureed pulp when I cook.  I then give the bulk of the veggies to the chickens. I  feel like I'm giving so much good nutrition to the chickens.

I'm wondering if I could juice some of the veggies before cooking and just cook the broth with the juice. Or, could I cook everything then juice the limp veggies and add the juice to my already cooked broth?

The veggies I use are:

onion

red pepper

celery

carrots

mushrooms

garlic