Many of the answers in this thread talk about skills where AI seems unlikely to have any direct sort of impact at all (like plumbing). In my opinion, that could easily end up being technically correct but exactly wrong in spirit (assuming the ultimate goal is to have a good job). It's somewhat likely that AI-augmented or AI-enabled professions become so ludicrously profitable that any other profession becomes barely livable.
Instead of trying to avoid AI it might make more sense to ride the wave. Dive right into some industry that's undergoing upheaval, work for AI-powered startups, learn about the technology, and meet the future head-on.
I don't want to sound too "gung ho", I'm a software engineer who feels like my profession will be radically different in less than 10 years and I'm genuinely worried about staying relevant. But I think "staying relevant" is probably a better strategy than trying to get out of way.