When I went to the physical store, I started walking away with the version in the link for $59.99. Then I saw the keyless version next to it for about $100. Sorry, not sure where you can order this part, specifically, for $40.00. You can probably buy tapered-spindle chucks in standard sizes, but I'm no machinist.
To install a taper-fit chuck you just kind of slide it in and tap it with a block. To remove it is a little trickier. You have to tap on it just right to make it break loose.