Define "relatively close"...how long would you prefer the commute to be? What is the absolute limit? Freeway commute or sideroads?
Define "safe" too while you are at it...can you walk to the store alone midday? Can you leave your car running outside 7-11?
I grew up in Westland, which is about ~ 40 min in good traffic, but pretty safe comparatively.
Allen Park? Dearborn? They are around 20 minute drives. Royal Oak is good too, but kind of expensive. Hazel Park is a straight shot down 75.
The area around Wayne has five or more large hospitals, some museums, etc. and isn't as "unsafe" as the rest of the city is rumored to be.
Is it just you, or are there kids/sig other to think about?