Just a few blocks south is Roscoe, and there are lots of breakfast places-
Victory's Banner is at Roscoe and Hoyne, which is a bit of a hike but doable, and a cheap cab ride if you go that route. They're all-vegetarian, and serve some amazing egg dishes, hash browns, fresh bread, and delicious chai.
There's also Orange on Roscoe, two or three doors west of Damen. Good food, VERY sweet/heavy.
Kitsch'n on Roscoe (just a door east of Orange) is very popular...I'm not super-impressed, but breakfast is their best meal for sure.
There's a Wishbone at the corner of School and Lincoln, which is solid but not outstanding.
Victory's Banner
2100 W Roscoe
Orange on Roscoe
2011 W Roscoe
Kitsch'n on Roscoe
2005 W Roscoe
Wishbone
3300 N Lincoln