This is what we did. It has worked for our flockI would buy long poles (probably4 to 6 feet)... maybe there are inexpensive dark colored garden stakes that you can buy...
And then buy dark colored bird net or deer net or equivalent.
Zip tie the poles to the chain link. Slide the net down the poles to weave them in place, or use more zip ties... so the net is stretched from pole to pole.
Gather up and gently tighten the entire thing. Loose bits of net will cause birds to get tangled up in the net.
Hopefully in a dark color it will tend to disappear and not be an eyesore.
Hopefully with it