Well, things aren't as bad as all that, especially in the "burbs". I agree, Bloomfield, Birmingham and Grosse Pointe are going to be high on the expense list, even given the current horrible housing situation. You might want to consider west of the city (Livonia, Northville, etc.), it's really not all that far away by freeway.
As for going into the city for "ball games, restaurants, museums, etc.", that might not be all you imagine it. Detroit is not exactly a huge mecca of culture, and although there are restaurants and museums (I'm happy to suggest some), there are not all that many. Ann Arbor, a good 45 minutes west of downtown, is really the place you want to go to spend a day soaking in culture and eating well. As for ball games...ummm...the Tigers aren't too bad right now....basketball plays elsewhere and...you have heard of the Lions, right? No, no...you go into the city for HOCKEY, that is our sport. We're in the playoffs right now, by the way. You should check us out, because you're going to spend the next years of your life inundated with the Red Wings.