I agree on West Little Rock being the safest, most convenient area to stay in. As mentioned by PTH, Petit & Keet has great food and exceptionally crafted cocktails. I also highly reccomend 42 Bar & Table located in The Clinton Presidential Library, Cypress Social (owned by the same people that own Petit & Keet so you can't go wrong there), Trios for lunch, Brave New Restaurant, and The Faded Rose for a good casual cajun place.
I hope your visit in LR is enjoyable and highly prosperous!