Need a great place in North Part Of Chicago
Raw Bar on Clark Street in Wrigleyville is a unique Persian/Egyptian/American seafood house. It's been around for 19 years and still serving up some of the very best steak and seafood around. Have a seat in the bar area or in the more subdued attached Piano Bar dining area. You will be pleasantly surprised by The Raw Bar. I've been a regular for over 10 years and continue to be impressed.
As for neighborhood places thatyou can walk to....
I would recommend Deleece on 4004 N Southport. Great food in very relaxed atmosphere. Very affordable, especially so on Mondays and Tuesdays when they have a $20 3 course. If you don't go there for dinner you can also go for a very good Sunday brunch.
If you are in the mood for Italian, you can also go to Terragusto on 1851 W Addison. It's a BYOB and their pasta is handmade. (If you go I would strongly suggest the spaghetti alla bollognese. It is heavenly)
Some other places worth checking out in the vacinity is, Tango Sur for Argentinian steak, El tapatio for Mexican.
Also, check out Southport Grocery and Cafe for their brunch/lunch and most of all cupcakes, especially their Vanilla cupcakes which have been voted best cupcakes in Chicago. (If you like Chocolate cupcakes, you should checkout Sensational bites further up on Southport. their chocolate cupcakes w/choco frosting is excellent as is their chocolate w/ peanut butter frosting. yum.....)
There are also so many great places in Chicago that are not immediately in the vicinity of where you are staying but would be worth going to.