Any prominently Polish neighborhoods left in Chicago?

I'm looking for a decent neighborhood to rent in that can be considered relatively safe. My mother, grew up close to Humboldt Park on Hamlin Avenue in the 1960s-1970s. At the time, the neighborhood had a lot of people of Slavic descent, as well as Puerto Ricans. There was quite a bit of gang activity back then, but I've heard they've cleaned the area up a bit. Anyone live in the area? How is it now? Anyone have any suggestions? How about Hamlin Park or Lincoln Park?