There are tons of amazing places in and around Andersonville. (And personally, I'd choose Andersonville over Edgewater; it's a nice 15-20 minute walk from Andersonville to places like Uptown and Lincoln Square, whereas Edgewater feels like it's a little further removed from the city. You'd only be a stop or two further away from Evanston on the Red Line, as well.)
The Middle East Bakery and Grocery is one of my favorite small grocery stores in the city, with all sorts of imported treats, fresh baba ganoush, hummus, spinach dip, falafel, meat and veggie pies...
Then the Hopleaf is possibly the best bar in Chicago, with a number of Belgian beers on tap, delicious mussels, macaroni and blue cheese (!), and even a small selection of Polish mead.
The Neo-Futurists put on an amazing hour-long show called Too Much Light Makes the Baby Go Blind--60 original shows in 60 minutes, and the line-up changes every week.
There are a couple of decent pizza joints, a bunch of great coffee shops (Kopi Cafe comes to mind, but there are lots of others), an Ann Sather, a wonderful crepe restaurant at the corner of Clark and Foster... and the list goes on. In sum, it's a lovely place to live. I'm living in China now and miss it quite a lot.