The Buffalo Police Department puts its crimes on this site: https://www.crimereports.com/
Keep in mind that many of the suburban police departments do not, so the lack of crimes on the map doesn't mean they're safer (necessarily), it just means there's no data. Buffalo, like any city, has good and bad neighborhoods and good and bad suburbs.
The area around Main & Jewett is generally a pretty decent area. Lots of nice old houses and it's not far from Delaware Park and the Buffalo Zoo. Main Street is a very important street and the subway line runs under it, useful if you work downtown or at UB and don't want to deal with/pay for parking.
The general rule in Buffalo is that anything west of Main Street is relatively safe and everything east of it is not. This isn't totally true, as South Buffalo is not bad, there are some bad pockets on the West Side, and there are safe and relatively nice parts of the East Side, but it's a good rule-of-thumb for a newcomer.
The neighborhood you would like is dependent on what you're looking for. North Buffalo (considered anything north of Delaware Park, west of Main Street, and east of Grant Street) is stable and family-oriented. There are large pockets of student housing (student ghettos) south and west of UB and around Buff State College. Young professionals live in the Elmwood Village or Allentown usually. Black Rock and Hertel are up-and-coming neighborhoods. Downtown is still pretty sketchy as a place to live, but there is a lot of construction going on there to make it better.