I just moved to Eastern Hills and am pretty excited about the move. If you want to make your own decission about the rate of crime try looking at www.crimemapping.com. Put in an address and the system will show you crimes reported over a specific length of time, default is five days I think. There is crime everywhere, this is a city with a varied population after all. But, after watching that site for the last six months I decided that this neighborhood, for the money I wanted to spend and the distance to everythign I wanted to do, was the best for me. It is beautiful, with old trees, well cared for houses, and hills!
You really have to decide what you are comfortable with. There are very few places that do not have crime of some sort (I live in a downtown apartment now and in the last year there has been at least two vehicular burgluries and two home invasions....and downtown is heavily policed.) I would rather live in Eastern Hills than an anticeptic cookie cutter neighborhood way far away from everything. But, that's my decission. Your's might be different.