Hope you found a good place. Re: bus stop, it would depend on which campus you're going to be on. Metro Transit has a decent website. Google also does a decent job at showing transit alternatives between two locations.
Re: neighborhoods, I'm fond of Seward ( pron. SOO-urd) neighborhood, which has a great cooperative natural foods grocery store; Northeast Minneapolis (ditto), which actually is made up of a bunch of smaller neighborhoods. Some of the first-ring suburbs are decent and relatively accessible via transit...or even commuter biking, in some cases (it's a "thing" here); e.g., St Louis Park. Parts of Longfellow are quiet, but there aren't a lot of apartment buildings there. Maybe St Anthony Park in St Paul (there's a free circulator bus that connects from the St Paul to the main campus); there's even a cooperative family student housing entity, Commonwealth Terrace, adjacent to the St Paul campus, but there may be a waiting list for that. Also, places a little more distant have express buses to the U, so don't rule them out. Those routes are listed here: https://www.metrotransit.org/university-of-minnesota-bus-routes.