Another Hoosier reporting in. I was born and raised in Indiana and lived there until 96 when our base closed.
I lived in Indianapolis for the vast majority of that time. I was raised on the east side, worked NE of Indy (in Anderson - powellrj) while in college, then moved south of town with my husband. Scarlett, I have an aunt and uncle who live in Pendleton, right by the penitentiary! But it is pretty quiet out there.
One thing not really mentioned here is that Indy is truly a square type city, with a beltway around downtown and everything very easily accessed. People will talk about which side of town they are on just as quickly as they will name the specific area. The entire county is incorporated, so there aren't many town names except in the surrounding counties.
I firmly support those who say Indy is a great place to live. Basically all the comforts of every other big city with lower crime and lower housing/cost of living. If you have kids, they have a great zoo, great children's museum and all kinds of activities to involve the kids in.
I, like Dodie, would point out that there are other nice areas besides the northside. In my opinion, the housing costs in the northside areas are substantially more than in other areas. There are many many housing developments, with the associated congestion. Of course, I grew up when people went up to Geist Reservoir to park because there weren't any lights!!
Please check out the links people have provided, explore the different areas of town and find the place that "fits" you.
Good luck!