There should be a Management agreement. The one we have is the standard REINSW agreement, and what you ahave for the term of the agreement depends on which of the 5 options. Our previous one was for 3 years and may continue for a further 3 years after that. We would sign a new agreement at each AGM. We eventually terminated the agreement during the time of the agreement without any penalty. There were so many cases of bad management that he was in breach of the agreement anyway, so he wouldn’t have wanted to take action.
Assuming that most owners want to change, what I would do is get a copy of the agreement. Find a strata manager that you want, and ask them what options you have. A good one will set up an EGM with the right motions and notify the owners, and change will quickly occur.