First as a new graduate, why live north unless your job is north of the city. So much is going on in the city it is nice to live there Brighton, Southie, Waterfront, South End or very close, such as Brookline, Somerville, Charlestown.
If not those area's and you are moving north much will depend on what you are looking for in a communtiy and if you need transportation. Checkout MBTA for commuter info.
Also are you looking for a house or a rental??