"close to everything"
Randolph Street is actually decent. It can take you right down to both Hart Plaza and the Renaissance Center with no problems, but good luck with traffic while trying to get across East Jefferson Avenue - the lights there are ungodly slow. There's actually a nice restaurant right off Randolph called Lori's. They got the best wines in the world in my opinion so that's worth a shot. City Hall isn't that far away either; maybe less then a block from East Larned and Randolph. At least there you can see the infamous Spirit of Detroit statue. You can in theory cut down Cadillac Square too, which will take you over to Woodward Avenue and Campus Martius Park. While there, check out that nice little confectionary shop right in Campus Martius. It's a bit expensive but worth the visit. There's a few good bars up and down Randolph Street too, particulary one right by East Congress that I thought had an "Irish" feel to it. It's a nice street overall and safe.