Yep, yep, and yep.
Coyotes are always in season. Gun by the back door. Definitely no prisoners Collector! Chickens are locked up tight at night, but are loose in their pen during the day. And I don't kid myself about a coyotes ability to jump or climb just about any barrier. The dogs are inside at night, although sometimes Gator seems to prefer the dog run at night, he can push the gate open to get in or out if it isn't latched. But from here on out he'll at least be in the garage at night.
The dogs are always in the dog run when I'm not home, but loose in the yard when we're here. Just need to keep watch and an ear open, they have a distinct bark if it's moose or coyote.
DH went out and spent several hours sitting and watching in hiding to see if it would come back, but it didn't.
The trouble is coyotes are hard to hunt around here because they have been educated by so many people calling them in, and not getting shot.
Cat, the dogs are up on their shots. This isn't unusual behavior for a coyote, they are habituated to people. Seeing them in the daylight is very common.
According to scuttlebutt from a second party source who spoke to a first party who spoke to the DNR

the coyotes are coming in closer because of the wolf pressure. Wolves eat coyotes. A lot of game animals are also being more of a presence in inhabitated areas because of the wolves. My tax lady has eight elk cows living on her property right now. Along with about twenty deer.
And you're right Steve, the moose need to be discouraged from hanging around.
This is Wren: