K.K.
I've lived a few very different areas and there are many areas that are nice with good schools. First, the far west end is sort of a mini northern VA. It's one of the more expensive areas, good schools, good shopping, but a lot of people. And people who are not necessarily from the area. Faster pace and great neighborhoods.
Hanover (north) area has terrific schools and has more of a rural sort of feel. There are some well planned communities and some that have a lot more land. Still close to downtown, but doesn't feel like it.
Chesterfield (south) is Large! You would want to look on the west part of Chesterfield, close to 288. There are about 4 really good highschools to focus your search around. There are some planned communities (ie with home owners, playgrounds and pools) and a lot of variety in the size and kinds of neighborhoods. This area feels a bit more 'southern'. It's growing quickly, so a lot fo people are from VA but a lot of people move here (especially from the far west end). You can get a bit more house for your money and it's a little slower pace. Plenty of your staple stores and a quick trip up 288 to get to Short Pump.
We chose to move to Chesterfield from the Far West End because of the amount of house for your money and I've loved it the most. People here open doors for you, talk to you in grocery stores and seem to be the most friendly. Although I've loved everywhere I've lived, this is my favorite.
Any of these areas can get you downtown in15-20 minutes. I hope you love Richmond, I know so many people who are surprised at how much they love it. It has a lot to offer and there are so many things to do. Good luck house hunting!
K.