No chicken expert, but I am a dog trainer, don't just play one on teevee. And I own and breed a kind of farm dog that routinely lives on diversified farms with free-range poultry, and who are used to both protect them from predators and move and control them when necessary.
You may be able to socialize your dogs to the chickens so that they can free-range. This will depend on the dogs' temperaments, their prior training, their respect for you, and your diligence in working with them as you raise the chicks
I have one eight-year-old farm collie grump who leaves poultry strictly alone, always has. (It was a challenge to get her to work ducks at a stockdog clinic, though she's keen to bully sheep.) No worries.
One three-year-old German shepherd who is socially autistic, and cannot perceive poultry because they are not in any way related to a game of frisbee.
And then the five-year-old and the 14-month-old, offspring of my farm collie grump, who are very keen on my new peeps. Definite predatory interest there.
I'm working with the two of them. As I check in on the chicks, they follow me out to the brooder on the porch and sit. When they are sitting nicely, holding a stay, and calm, I take out one chick and let them each sniff it, and lick its butt if they want. I remind the dogs that the chickie is mine, and that they are responsible for protecting her. Any incipient nips earn a pop on the nose and banishment from the porch. They are getting much more respectful over the past three days. I'll continue to do this for a few weeks, and as the chicks get bigger, will gradually allow the dogs into the same space with them under immediate supervision, probably one at a time at first.
This is likely to work because I have dogs who have genetically biddable temperaments, natural impulse control, excellent foundation obedience training, respect for me, and familiarity with the concept of duty and responsibility. They know what it is to protect someone.
FWIW, I started almost the same process with two barn kittens I got about two weeks ago. The young dogs had forgotten their cat manners since my old guy died in the fall, and started out way too keen with the tiny kittens. Since these are dogs who easily kill 14# groundhogs, I had real concerns they would harm a fleeing kitten who triggered their prey drives. Two weeks in, and they are now nuzzling the kittens appropriately, and the kitties love the dogs. I'll continue to supervise for another two or three weeks, though.
So ask yourself whether your dogs have the temperament, training, and concepts of respect you need in order to conduct a successful introduction, and whether you have the skill and timing to correct the wrong and allow the right during the introduction process -- and if the answer is yes, work with them every single day while the chicks are small.
And remember, a bird in the hand is not the same as one running around the bushes, so be extra careful and diligent when transitioning to "chick at liberty." You need to be able to read your dogs' to know when they are clicking into prey drive before they get started, and you need to be able and willing to deliver a memorable and effective correction just as the evil thought forms.
