I didn't know they were your dogs.

I still do not suggest shooting them.
I have 3 and they all like/get along with my chickens and cats. I had a neighbors' dog that got loose and attacked one of my hens a couple years ago. That is why I thought it was neighbors dogs.

My hen lived 2 more years but was blind. Died at 11 years of age. It was a total extra job to maintain and feed separately. I just could not cull her since she recovered but was just blind. Healthy otherwise.
I have read multiple posts about how peeps trained their dogs to stay away from chickens. They used a shock collar for the training. IT WORKED.