If you feel it's best to rehome your dogs, don't be dismayed by all the ads on craigslist. Just do the nicest ad you can and hope for the best. Always ask a rehoming fee. You might even ask to go see where they will be living. A legitimate adopter will not mind you checking out their home. Another option is a breed rescue. You can search online and see if there is one in your area.
i don't have dogs, but have issues with one of my cats, a large male, wanting to pounce on my senior female cat. Of course, cats aren't very trainable, and nothing i did worked. So now i do cat shuffling every day. When the senior is out, he is closed in a room, and visa versa. It's a bit of a pain, but works.
If you can't find good homes for your dogs, hopefully you can avail yourself of the good suggestions by others here to make sure your dogs are secured and kept away from your chickens. Good luck with whatever you decide.