Better than Jewel or Dominicks is Edgewater Produce, right across the street from Jewel about a half mile north of you, at Clark and Catalpa. It is a tiny little store, but their produce is quite good and their prices are much better than Jewel, in my experience. I do still have to cross the street to Jewel for some things, though. Those are both easy walking distance or a short ride on the 22, depending on how much you have to carry home.
I'd avoid the Dominicks at Sheridan and Foster, I find it tends to be greatly lacking in stock, and it is pretty small, as well. The two Jewel stores near there, one at the Berwyn red line stop and the other across the street from Edgewater Produce, are both fine for staples.
There are a lot of smaller stores up and down Broadway that I go to for various things as well (all accessible by walking or taking the 36 north). Are you looking for anything in particular (butchers, bakers, candlestick makers?), or more general grocery stores?