That's exactly the reason why I suggested to go to a local festival/competition/or class recitals. If you see some kids playing consistently on a higher professional and musicianship level and tend to win top prices then most likely they are coming from a much more experienced teacher--there is much more chance that teacher could help you with your problems.
Now we have gone full circle. A person who is not a musician or pianist will not be able to tell what they are hearing. You could be impressed by "fast and furious". You also will not be able to tell whether these students have been practising only that one piece for the whole year. I have to repeat what I've been told by teachers getting transfer student who play this way, and then they discover that the students did not learn to read music, were led by finger numbers and imitative choreography.
No, if I were coming in out of the cold today, first:
- do research and find out what needs to be learned (which might in the least be defined in terms of skills and knowledge)
- tell a prospective teacher that you want to get the skills needed to play the instrument, including reading skills and the necessary theory
- listen carefully when a teacher talks about what he plans to teach, what is expectations are. If it's full of "favourite songs", "fast progression", "admiration by others" - stay away!
- have a trial lesson, paid for, and observe what is done and said, observe yourself being observed
- when all is done, is there some kind of a plan, are there goals --- or does this person whip out some method book and start and page 1
things like that