The demonstration piece is a S&W Model 10-5 chambered for the .38 Special cartridge.
The Weaver Deluxe Gunsmith Tool Kit I used in the video can be seen and purchased here.
A human being should be able to change a diaper, plan an invasion, butcher a hog, conn a ship, design a building, write a sonnet, balance accounts, build a wall, set a bone, comfort the dying, take orders, give orders, cooperate, act alone, solve equations, analyze a new problem, pitch manure, program a computer, cook a tasty meal, fight efficiently, die gallantly. Specialization is for insects.
-Robert A. Heinlein