There is a difference between rough construction, finish carpentry and fine woodworking even though each type use some of the same equipment or machines.
If you want to do construction/carpentry, find a small construction company that is not a family owned business. Family owned and run businesses are rather tight with who they will hire as family comes first. Do your own research on this company and see how many 5 star reviews they get. Do not settle for any company that does not have a great reputation. When you show up in person, bring up the fact that you want to work "here" because of their excellent reputation for quality work and good relations. Convince this company that you have the same quality standards and are willing to start at the bottom to prove it.
If they are willing to give you a "trial run", show up early, work hard, ask questions, look neat and clean, wear safety appropriate clothing and safety shoes. Be well organized, work hard and stay late. Don't curse, don't smoke and say "Yes Sir and No Sir when spoken to. Put your smart phone away well out of reach. These are the qualities of a good employee. This will go a long way in getting you hired. The skills on construction will come from doing the actual work as you learn on the job. You will probably be a "gopher" bringing materials, stacking them, and helping the other carpenters do their job better and faster. Time is money as they say, so the faster the crew can do their work, the more money everyone will make. You want to make yourself a "valuable asset" for the company so they will want to keep you on as a permanent employee.
Start collecting hand tools if you can afford any. Look for a good hammer in the 16 oz to 20 oz weight class. Practice driving nails at all different angles in 2 x 4 scrap wood. The secret to driving nails is the pieces of wood need to be backed up solidly so it doesn't shift around from the hammer blows. AND the face of the hammer can be angled/oriented to drive the nail in any direction you need. Of course many construction crews now use air powered nailers, but hammer skills are basic to the trade.
Using a hand held circular saw is also a basic skill, but they are always dangerous, even in highly skilled hands. This carpenter is the best one I've seen on You Tube. You will learn more from him than you will ever need to know....LOL
Here's a great one on advanced use of the skilsaw. Notice how he is dressed, wearing a tool belt with pouches for all the stuff he needs on the job:
For someone starting out, you'll find this interesting from an experts point of view: