OP - if the motivation is to gain DIY skills for being a homeowner, I highly recommend joining a group like habitat for humanity and volunteering on as many projects as you have time for.
Between woodworking and metalworking I would say woodworking is very useful for a homeowner, metalworking not nearly as much (disclaimer: I’m a woodworker). I’ve often found my woodworking skills useful during my three house renovations, but have rarely needed welding to get basic home repair projects done. How ever, there are a bunch more skills that will come in handy for a homeowner, including plumbing, electrical and drywall in addition to rough carpentry. Those you can learn on a habitat for humanity build. Of those, knowing how to do basic drywall will really open up possibilities with home repair and renovation very quickly. The nice thing about drywall is the west thing that usually happens is your wall doesn’t look perfect... and it’s usually correctable with another coat of mud and some paint.
Plumbing (with PEX) had also become very doable for a homeowner, though there are some obvious bigger risks if you screw up. Electrical isn’t hard per se, but it can kill you or cause your house to burn down, so be certain you know what you are doing and check it against code and with an actual electrician.