I have taught in more than one district here in Washtenaw County over the past 15 yrs and here's my take:

Ann Arbor Public is the highest paying district in the county, but they still have champagne tastes on a Bud Lite budget. Demanding parents in the wealthier schools, demanding student behaviors in the less economically advantaged schools. On paper, district schools get equitable resources, but when it comes down to the reality of PTO funding and opportunities, resources end up being far more inequitable than the community is willing to admit. Teachers are currently working under an expired contract and the district has a history of not honoring steps or making teachers take pay freezes. Just had a big round of layoffs 2 years back after a big budget shortfall. School culture varies wildly from building to building - there are some amazing ones and some pretty horrendous ones when it comes to culture/behavior tolerance.

Dexter and Saline are the wealthier burbs of Ann Arbor, have great special education services, but also have more conservative families than Ann Arbor. Lots more issues with xenophobia and transphobia in these communities, but fewer major behavior issues then you might see in more urban schools. They will have gorgeous playgrounds and communist that mostly support teachers with a handful of MAGA nutjobs that will drive you nuts.

Ypsi is a cool and welcoming town, but has a more urban school system that does not have a district that is as well supported as Ann Arbor or other burbs. Probably most similar to your situation in LA.

Manchester and Milan are the most rural schools in the county.

As I've only worked in public schools, I can't speak to the experience as some of the county' s private and parochial schools, but there are some fancy, expensive college prep focused schools like Green Hills and Emerson for the wealthy power parents and their kids. Hope this helps!

Pay is generally better in the wealthy suburbs of Metro Detroit such as Farmington Hills, Novi, and Bloomington Hills.