This is a great question @9hdtvey54r but as others have said it's hard to give specific advice as even some of the most traditionally stable jobs are going to change out of all recognition.
Teaching is going to change, certainly in 11+ years and college/university. Under 11s, the reality is that (whisper it) this is basically state funded childcare with educational and social content that could be delivered in a different way and over different times. So primary teaching might change, but not radically unless how childcare is funded and delivered changes.
Nursing is going to change in some ways, but not others. For instance, some of the 'back office' duties of nurses will go, e.g. a lot of the admin should go or be diminished by AI. For HCA duties, there are companies working on care robots (washing a patient, etc.), yes, unbelievable but this will be coming! However, nursing which requires high-level adaptive knowledge/skills, there will be a need for this.
Healthcare generally, some of this is going to be automated with a need (if any) for lower skilled people as operators. For instance, I'm no expert, but I do have regular optician visits because of my health condition, and I can see pretty much most if not all of this process being fully automated in the very near future. NHS counselling will definitely go, too, I'm sure of this - unless you pay for 1-1.
I agree with other posters though about early years etc., although this too will change, I can't see robots chasing toddlers around and wiping sticky faces ... or, indeed, doing the complex safeguarding work, either. On the other hand, routine legal jobs are going to go - and quite quickly I suspect - so the same might be true for much of the paperwork/bureaucracy associated with social work/social care.
If I had my time again ... erm, a plumber or electrician I think! I'd certainly be richer had I gone down this path.