To be a well paid carpenter you need to be skilled in the art. You have to be an apprentice and learn the art under a skilled carpenter that is vast in either rough carpentry or finished carpentry, depending on the one you wish to specialise in.
When you have acquired the practical skill, you can venture into the AEC industry. To be well paid you could establish a company or business in that line by registering with a cooperate body. This will enable you go for the big dogs and make your service look professional.