I am a bit out of touch with Brum as I've been in London for ten years but the prices of property seem so cheap compared to here!
I know the north side of the city best, my family live in Handsworth Wood which is pleasant but probably not anything for £90k there. Some parts of Handsworth are ok.
As a child I lived in Perry Barr (the Great Barr end) which is fine but 'old' Perry Barr (the Newtown/ Lozells end) is not so nice now I understand.
Erdington is ok, I went to school in that area.
I've a friend in Northfield, pleasant there but further out from the city centre.
Harborne, Edgbaston and Moseley were areas where more seemed to be going on for younger people but they may be quite expensive now.
I definitely wouldn't want to be buying in somewhere like Castle Vale or Chelmsley Wood or that side of Brum, they are full of boring, soul less 1960's estates where all the roads look the same and are quite a distance from the city centre.
There seem to be quite a few new build flats near the city centre (e.g the Jewelery Quarter) that I think I might consider looking into if I was moving back there.