The Coyle Unit is firearm restricted. Probably some local areas down your way too, but I don't know them specifically.
Lots of Coyotes on the wet side, but they're almost impossible to hunt most of the time. Right down in the neighborhoods for the most part. As you go South from Silver there will be a few in the foothills, and a fewer in the mountains, but very sparce. If you can find lowland property to hunt that's your best bet. Hard to come by.
Most guys from the West who want to kill Coyotes take a drive over the pass to the East side. It's well worth it compared to spinning your wheels and getting flustered (or yelled/shot at) around here.
Quite a few bobcats, just have to figure them out and get them located.