I know that Ann Arbor has the one of the best high schools in Michigan - Pioneer and Huron. I met a lot of people from both those high schools and it seemed like they had good experiences - there were challenging course and a lot of extra curricular activities to choose from.
Michigan Public School Rankings
This websites gives the grades for elementary, middle, and high schools for whichever you choose. It's based on reading, math scores, etc. You might want to check this out. I don't personally know people in the AA middle schools/elementary schools but if the hs are indications then it should be good.
I think the schools in AA are basic public schools - if you live in the district then you go to the school kinda thing. I'm thinking they probably have some kind of school of choice, but again I'm not sure. With school of choice though, you have to plan ahead and apply before due dates and such. You can probably google Ann Arbor public schools and find a contact information. i'm sure they'll be more than happy to help you and answer all your questions.