Friendly horses, friendly dog, friendly chickens, friendly people. It's basicaly a big field with a handful of picnic tables. You'll have plenty of privacy if you want it.
It can get windy so be prepared. There's one porta potty at the front of the property, it can be a long walk if you're set up in the back. They have a decent communal area and kitchen. I retreated here when an active storm moved through with a lot of lightening. I figured this was much safer than a lone tent in the middle of a field. The overnight rain was very peaceful and helped me sleep.
Where is the shower? Aha, I found it! It's a small unmarked building behind the wall of the common area.
Last Chance isn't that hard to get to. It's a good spot for an overnight while traveling or a few days while exploring the Cheyenne area.