Sounds like you have picked an excellent neighborhood to start out with! Lafayette Park is one of the safest neighborhoods in the city and has a lot of professionals as residents. As far as safety is concerned, if you have common sense you will be just fine in Lafayette Park. It's right by Jefferson too which will make getting to Grosse Pt. easy.
For downtown, Downtown Detroit is one of the safest big-city downtowns in the nation. [[http://thedetroithub.com/site/user/f...rimeReport.pdf). Again as long as you use common sense you will be fine.
I hope you enjoy whatever neighborhood you choose however!
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