Hey Zachary,
I'm working in both these areas. I just picked up another unit in Berkley on Friday. The south Oakland market is pretty interesting, and from one city to the next, there's some fairly dramatic shifts in cost and ROI. Birmingham is one of the more high end markets in southeast Michigan. You may have a more difficult time finding rentals with a decent cap rate. They're not impossible, but are less common than in some of the surrounding areas that comparable rent rates. I hold rentals in cities that surround Birmingham, but not in Birmingham itself. I'm seeing rents $1100-1600 depending on where the rental is located.
My buying criteria is at least 3 beds (or the ability to make 2 into 3), with a basement. 1000sqft+ at least. Basements make them easier to sell when you decide to liquidate. I tend to renovate them to a pretty high finish level for rentals.
If you'd like to talk more, you can drop me a line.