I know several people who rented at
KeyApts Communities
The apartments are older and idiosyncratic and owned by one person's family. They are very homelike, larger, and in very safe "house" neighborhoods - Valley View and Interlachen Manor were the specifics.
Second to consider:
Oaks Properties
These are very professionally run apartments. Two I know are Oaks Vernon and Oaks Braemar. Again, very good neighborhoods.
Oaks properties are much larger complexes with pools. They have staff at the door. Keys do not. Either place is safe. I would stay away from large complexes like Cedars in Edina. Hopkins has a lot of apartments but the neighborhoods are much rougher. The commute from Edina isn't significant.
You can get deals by looking at Apt. search engines and negotiating. Take advantage of these.