Been working blocks from where you'll be for the past 4 years now.
First two years I lived in the Fulton River District. Kind of a transition area between the Loop proper and River North. Jewel/Chase shopping plaza recently opened there, lots of trendy hip eateries, relatively quiet given proximity to loop, and of course, the ever-present aroma of chocolate in the air thanks to the Brommer's factory not far from there. I loved living there.
Currently living in the West Loop. As long as I'm working & living in the city, I need the ability to be able to walk to work. People saying they walk to work from Lincoln Park must only be doing it in the fair-weather months or have a background in mountaineering.
Because of that one requirement, only certain neighborhoods were ever in consideration - West Loop, Fulton, Printer's Row, South Loop; if I really wanted to stretch the distance thing: River North, Streeterville, Old Town. I'd tell you to look into anyone of those, they all have their pros/cons.
I chose West Loop because its an easy walk to work yet I feel distant enough from the Loop when I'm home; it's relatively safe or at least you eventually get that impression seeing all the strollers/kids/dogs/moms-to-be; great access to the greater Chicagoland area via CTA/Metra/90/94/290/55; plenty of free parking. Blackhawks'/Bulls' recent success lends the neighborhood appeal as Madison Street feels more like a Northside neighborhood with all the fans/bars/hoopla.
If eateries are a heavy priority, West Loop may not be it for you. I find the area seriously lacking when it comes to spots to go for a good, quick bite. Greektown's way overrated, for anyone planning to counter with it.
One thing you should know is if you're single and looking to meet other singles, you might be best off somewhere like Printer's Row/South Loop where all the liberal art schools are.