I'm in California on an 8-acre property, and I have all the predators you listed. Here, the biggest are avian (hawks and an occasional eagle) and coyotes. We have an enormous pack of coyotes, and they do come on the property, including at daytime. I constructed a large run (2400 square feet) that gives my chickens and ducks plenty of room to roam. But I prefer to open the gate and let them out to take advantage of the full property. However, here are the considerations:
For avian threats, chickens are at the greatest risk as pullets. I have never had an issue with hawks attacking full-grown hens that are too heavy to carry off. That said, I have my coop and run located in a Guava orchard, which means lots of low cover that they can duck under every 8 feet, so plenty of hiding places if necessary.
For coyotes, it varies by season and time of day. Right now, coyotes are giving birth and trying to feed their young. I'm seeing a lot more activity, including daytime activity on the property, and unsettlingly close to the run. I also have cover crops on much of the property, which means thick vegetation that is 4'-6' high. There's just way too many potential problems to let them all free range. On the days when I am out there for the duration, I've let the ladies out with me where I can keep an eye on them.
As it turns to Spring and Summer, I'll be out on the farm all day, and free-ranging is easier.
I should also say that I spent a lot of time socializing my birds, and they do come when called. I will often let mine out in the pastures while I work nearby, then I call them in and lock them in their run while I go eat lunch and take care of other chores. It absolutely can be done. It just takes more work and vigilance on your part.