In New Mexico, with about 50/50 public private, a good GPS with landowner chip is very useful. No reason to question the legality of your hunt location.
Here's my gear list for my part of NM - rifle (AR in .223), 12 ga. shotgun with #4 buck, Mojo Critter Sitter, 2" butt pad, Primos Trigger Sticks (bipod), FoxPro Shockwave, several hand calls (most custom), random camo clothes, face mask, gloves. I also have an Alaska Guide Creations chest rig (aka the Snuggle Buddy) in which I keep a binocular, camera, rangefinder, handheld GPS, wind check powder, a lighter, and an extra hand call. The butt pad, e-caller, and shooting sticks are in or strapped onto the Critter Sitter, which I can wear like a backpack.
When I leave the truck, I'm ready to call any kind of terrain. I can sit flat on the butt pad, sit in my chair with sticks, or stand with sticks. I can shoot a rifle or shotgun, but often pick just one when. If I'm alone, I usually take the rifle. When teamed up, I carry the shotgun and leave longer shots to more skilled shooters.
I have all kinds of crap in the truck to support a day or more in the desert, but that's a different post...