I live basically in SLC, UT I let mine out every night after work. So far no problems. I went "under the radar" route with my neighbors instead of the "inform & get consent" route.
When they first went out into their eglu I did come home one night and found that under the "coop" portion had been dug up quite extensively. Not sure if this occured during the day while I was at work or the evening before while I was asleep. (Normally I check on them before going to work but that day I was running late so didn't check.) Anyhow I did not hear anything unusual the night before so the assumption is that it was a neighbors dog that did the digging while I was at work.
I also think that the dog would not have given up willingly. What I believe happened is that some neighbors dog got into my backyard and that its owner went looking for it and probably heard the ruckus that the dog & chickens would probably be generating, and retrieved their animal. Since dogs are not allowed out without a leash, and he was on my property this neighbor was probably wise enough to realize the liability of having their dog "at large". Since this has happened I have noticed a MARKED improvement on all my neighbors part that they are leashed & not roaming the streets. One of the most "nosy" neighbors is on the neighborhood watch and he saw my chickens one day so he could have also played a factor.....
My cat has not been a problem and he does not care for other cats on the property so thats not a concern.
The only thing I worry about is an ACO coming and taking my cockerel (not
sure its against the rules but
probably) but he is a bantam cochin and his crow is very mellow. I can barely hear it in my house. The only reason I worry about ACO is I "outed" myself with "nosy" neighbor. When he asked if I had chickens (I was there when he initially spyed them) I responded nervously with "Yes do you want eggs? Its allowed if you do not have roosters, unfortunately 1 of the 3 turned out to be a roo even though they were sold to me as pullets......but he is my favorite....."
Insert foot here. But that was a couple of weeks ago and so far, (knock on wood) so good.
The nosy neighbor is a retired mailman, I think he is just glad I no longer have a dog. He did enquire if I was worried about cats (thinking he has one) I said "No, I just worry about dogs"......hey, so far its worked for me.