We moved to Chicago about 3 years ago from Iowa City, and have since lived in 3 different neighborhoods (purchased a condo and have no plans to move now). I found that coming from a smaller town, my comfort level for what was "safe" changed vastly during my first year living here. I am now very comfortable in places that I would have been very nervous about being in when we first got here. You may or may not have the same experience (I was always a small town girl).
South Loop is definitely up and coming, and if you don't mind high-rise living, seems like a great place. University Village/UIC area is also "in transition" (it's where we live) and we love it. West Loop is another area to consider. West and South Loop are mostly lofts and high-rises. U Village/UIC area is a mix of lofts and 3-flat row homes. Hyde Park is also a nice neighborhood, and will be substantially cheaper than the West/South/UIC area. BUT the public transportation in/out of Hyde Park leaves something to be desired, I find. Still, lots of families in all three neighborhoods. All three are plenty safe. You can actually look up crime stats by address if you do a google for "Citizen ICAM" (click on the first link that comes up.) Note that the crime stats will depend somewhat on the neighborhood's population density.
A word of caution: a lot of the "newer" neighborhoods are wonderful places to live and are much more affordable than the more established neighborhoods (Lincoln Park, Lakeview, Bucktown etc) BUT they are new enough that there isn't the same type of infrastructure (daycare, parents networks etc) as there is in the older neighborhoods. It's not that these things don't exist, they're just harder to find, I've found.
Either way, I highly recommend living near to where you or your husband works. Nobody can touch my 10-minute bicycle commute!
Good luck and happy moving! Let me know if I can help in any other way.