The gun violence is fairly isolated in Chicago, so depending on how big (area-wise) North Charleston is, I'd say more likely in N. Charleston (knowing North Charleston is very different than Charleston). Just as the general population doesn't frequent the areas of North Charleston (or Atlanta) that are dangerous, so the same goes for Chicago. Yes, since Chicago is a huge city (area-wise) there are more areas that are dangerous. However, most of the population in Chicago don't go into those areas. I believe I read somewhere that 86% of the murders in Chicago last year occurred in the same geographical area.
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If you note, there have been 0 murders in downtown Chicago this year. This is where most visitors would be. I feel safer in Chicago that I did parking for some Braves games at Fulton-County stadium (parking south of the stadium).
The south-side of Chicago and West Chicago area are areas that only people who live there and those looking for something illicit would go into. Most of these murders are gang-related or drug-related. Chicago is on pace to have 150 less murders in 2017 than in 2016. However, let's not kid ourselves, cities can be dangerous places if you don't know where to go and not to go.