If ya got the clothes to stay warm, Boots to keep feet dry and warm, Rifle and the right ammunition, Knife for skinning and butchering. These would be the main things. After that Bino's, Deer cart, Cooler for meat, and so on.
Basically hunting can be as cheap or as expensive as you want it to be. The main thing is make sure you have all the proper licenses and tags along with permission on where you will be hunting. Then just get out there and enjoy nature. Truthfully taking of the animal is just the icing on the cake.
You can eat coyote as I have seen several recipes online but I have never tried it personally.