Hunting coyotes is a BLAST!!! Since your asking a fair amount of questions I wil assume your new at hunting them so I will start from scratch.
Firearms: Even though you are in a shotgun/slug zone for deer, you can use rifles for coyotes after all deer seasons have ended. A lot of people use the same rifles they use for deer hunting while others have tricked out 22-250's or .223's. Some even use AR15's and such.
Calls: Even though I have a foxpro electroninc call loaded with 32 different sounds, I still prefer to use an open reed call most of the time as with just a slight change of tongue pressure or air pressure you can get a totally different sound. Makes for a highly mobile option to hunting. I am not a fan of using closed reeds as you are stuck with one sounds, and they tend to freeze up when its really cold out.
When you start the calling sequesce start fairly light and quiet as you may spook predators that are already very close to you. After about a minute of light calling take about as long of a break and look/listen around for movement. After a few quiet rounds start getting louder to cover longer distances.
You should be in each set for 15-30 minutes or so total before moving on to the next spot. If your going to call more then one spot, make sure you move about a mile as again, they have awesome hearing!!!
If you don't have a mile to move and are forced to hunt closer, take a little longer break between calls and switch tone. Also take note of which calls your using at each spot and try to switch things up as much as you can to keep them from getting call shy.
Setup: Just like deer, its very important to setup as quiet as possible as yotes have outstanding hearing! I prefer a set where I can sneek in to a slightly elevated position where I can see a long ways but not so high as to skyline yourself. Yotes also have good sight so if your in the snow, try to wear something white and also use background cover.
In open areas I will mosty use my rifles, but if you deside to hunt heavy cover, shotguns with buckshot work wonders.
Decoys: I don't use them often, but try to use one that fits into the area. A fawn decoy in the dead of winter will look suspicious but a flopping rabbit will work wonders to keep all eyes off you and your callng.
I hope I was a little help. If you wanna chat coyotes let me know as I hunt them often, and all year long.
NRA Certified Instructor: Pistol, Personal Protection in the Home. (MN Carry Permit)