

Don’t introduce anything too radical, so no tunneling electron microscopes just yet. However, you should be able to use empirical science to debunk BS ideas and move things along that way.
For example, the phlogiston idea was proven wrong in the 1770s when people started burning metals and realized their mass increased in the process. Also, certain compounds can release oxygen, which can maintain a flame in an otherwise empty container. Sounds simple to us now, but back in those days, it was revolutionary.
The idea is that you have to work within the framework available at the time.
Kids and elderly people are already doing all of that, so it is technically possible, but inconvenient. You would also need to outsource your smartphone activities to someone else to actually make it work.
Option 1 seems semi-feasible, but it is getting harder every year. Also, certain activities are already beyond your reach if you’re in this group. As long as you don’t want to do any of those things, you should be fine though.
Option 2 is impossible unless you outsource your phone needs to someone else.
Option 3 is hard, but possible. You would need to limit your activities quite significantly. BTW some homeless people have a dumb phone as their only electronic device. You kinda need to have a phone number in order to barely survive.
Option 4 is the most extreme one. Children and elderly are living like this, but they are also outsourcing everything, so does that count?