We have all of the predators you have, except swap your bobcats for pumas (cougars), and the most recent black bear was seen about three miles from here. Definitely, absolutely, invest in an electric fence. I did, and it provides peace of mind. In addition, I haven't lost a chicken to a predator in almost two years. Before that, I lost five in two attacks by raccoons, and another 'coon tried to grab a chicken through 1" X 1" welded wire. It succeeded in pulling out a clump of feathers. I overlaid the 1" X 1" welded wire with 1/4" X 1/4" hardware cloth, securely wired together.
Yes, they will try for your birds and you've got to think like them if you're going to protect your birds. Best to go with a "belt and suspenders" approach. I nearly lost three little ones in the brooder to a rattlesnake last year. I ran it off, but I know it's still out there. I don't know what to do about the bad snakes, but at least none have bothered my birds since they've matured. Perhaps my big BR rooster has made the difference, but I don't know that for sure; maybe the pit vipers just aren't interested in big chickens. But I digress. Surround your coop with at least two "hot" wires — a low wire and high wire work well — and keep the ground damp enough to provide a continuous good ground for your grounding stake.