How did Dr. Anderson and other local organizers plan to bring about change in Albany, Georgia No

In 1961 and 1962, civil rights activists attempted to end segregation in Albany, Georgia through a series of boycotts and marches.

As their movement continued, many of the protestors were being jailed.  The leaders of the movement did not have a plan for how to deal with all these jailings.  Because of this, they felt that they were out of their depth and needed help.

After coming to this conclusion, they decided to ask Dr. Martin Luther King, Jr. to come to Albany as something of an expert advisor to help them with their efforts.

So -- in response to your question, I'm not sure which you mean -- their boycotts and marches or their plan to ask King's help.

The link provides a transcript of the Eyes on the Prize episode that discusses the Albany movement.