Along 63rd, Western to California is pretty rough. North of 63rd is generally worse. South of 63rd is a bit better but not by much. The City is putting a lot of effort into cleaning up the area between Western and California, It will take some more time for conditions to really be a lot better. East of Western is better generally, except around Damen. Along Ashland is so-so. Conditions get better West of California towards Kedzie and beyond.
Other than what has been metioned, also go check out the area yourself. Go there at different times of the day and night and see if the area fits your needs. Only you can tell if something is right for you and your family. Best of luck.
Americorp Real Estate
Brokers Associate, e-PRO