There is a walking tour of the historic part of Kingston; but to be honest it is mostly just showing the sites where things used to be. Other than the Percha Bank Museum and the Black Range Lodge, only the Assayer's Office remains on Main Street.
The Percha Bank Museum is located in the old Percha Bank Building, which is the only building remaining intact from the towns heyday of the 1880s. It houses a nice little collection of items from the history of the building, the town and the area. Hours during the summer are 10 AM to 4 PM on Friday, Saturday, and Sunday. Admission is free; but donations are appreciated and will help keep the museum open.
You get to Kingston by driving down New Mexico Highway 152. The road has a lot of mountainous curves but is generally a very good road. The scenery along the way is spectacular. It is part of the Geronimo Scenic Byway.
Near Kingston, along New Mexico Highway 152, is Emory Pass. There are a couple of very nice hiking trails here. One leads along the top of the ridge at about 8800 feet in elevation. Both trails are fairly challenging and provide spectacular views of the valley below. For the less adventurous, or those pressed for time, there is a nice viewpoint you can drive to.
Equipment: Good walking shoes, a good topographical map, water, sunscreen, a hat, weather appropriate clothing.