The portable nature of this is very nice for them!
If you can erect some overhead netting against hawk attacks they will be safer. Looks not too hard, going from the coop out to the fence, adding a few step-in poles.
Chickens won't necessarily run to the handy shelter in an attack. They are panicking and will be running directly away from the direction of attack, wherever that goes. I have made this mistake sadly. So they may get pinned against the fence by a hawk, especially one that knows this strategy.
Everything wants to get our chickens, I'm afraid. OK maybe not mice and songbirds, they want the feed lol.
So be aware also that the run fence won't stop a fox or coyote, or especially a mink/weasel/fisher, once they discover you have chickens, which will be soon. Do you have a pet dog that likes the chickens (won't attack them) and can roam around outside the run fence? That can be a good deterrent in the daytime. I have seen both fox and fisher out and about hunting in the daytime.
If a predator tests the fence and finds it wobbly or non-electric you are vulnerable. A fisher can easily fit through those openings. Coyotes can climb or jump a six-foot fence.
I use aviary netting that I tie or stake to the ground over a moveable framing and pole system, and that contains the chickens. Then I have electrical poultry fencing surrounding that for ground predators. It's worked well so far, but this system has only been in use for two years. The coop I have (Omlet Cube) is very predator-proof also, it is vulnerable in winter but in summer is behind the electric fencing. I have had a bear test it in late winter, scratched it and gave up.
