We wrote this day trip guide to Birmingham for a summer series called Patch Passport. The other Patch sites in Michigan — from St. Clair Shores to Dexter and two dozen in between — have done the same.  All summer long, we'll offer up a weekly daytrip guide to another southeast Michigan destination. But to start, here's what you helped us come up with for our own daytrip guide. Have more suggestions? Add them in the comments. Explore downtown Birmingham Birmingham is known for its downtown, which is complete with two movie theaters, dozens of restaurants and a robust shopping scene. …