A socket chisel has a shank with a cupped indentation (aka, a socket) that fits into a corresponding cone-shaped protrusion from the handle. Conversely, a tang chisel has a pointed shank (aka, a tang) ...
Every toolbox needs a decent chisel set, and inexpensive tools are available for DIY and jobsite use. Keen amateur or professional woodworkers might want to invest more, and there’s plenty of choice, ...