Hmmm difficult one because there are some areas but then again the people living there would argue. I lived in Chaddesden for a while and loved it there but others would say it wasn't the nicest place.
Normanton, Peartree and Allenton are the "poorer" area, Sinfin, Chaddesden, Mackworth and Alvaston, are the bigger estates but with mixed opinions and Allestree, Littleover and Mickleover are highly desirable but have least council housing.
Also with Derby Housing, once you get onto the council list you also get onto all the Housing association lists too - so increase your chances.
Email/msn me if you want to ask anything [email protected] - probably easier than the board. (I also don't want to risk offending anyone livig in a particular area ROFL)