Lived here all my life. Plenty of different animals to hunt antelope, deer, elk, mt. lion, black bear, rocky mountain big horn sheep, desert big horn sheep, turkey free range orxy, auodad, turkey. Deer we have whitetail (very few) coues whitetail and mule deer.
Now for the fly in the soup so to speak. You have to draw a tag for most of those species and odds are slim on some. Do some research on units and draw odds which will help your odds.
Southern part of the state has more BLM land, they north has much more private so access can be a little harder. Plenty of National Forest both north and south.
You should like the climate and the clear skies. Good luck on your applications.
Forgot about Ibex and Javalina.