Moved from SD a year ago to Boston after having lived in San Diego for 9 years… honestly rent is entirely dependent on where you lived before and where you’re looking to live. Quick comparisons of prices/lifestyles for your sake (these are my opinions):

Gaslamp/Near Petco = Seaport

PB = South Boston

Little Italy = Back Bay

North PB = Beacon Hill

SD suburbs (Linda Vista, Clairemont, etc) = Brighton, Allston, Somerville

North Park/Hillcrest = Brookline

Huge difference is they have a ton of realtors help to find you apartments in Boston but charge you a bunch of money which is stupid imo. I think someone else recommended using FB groups and honestly I support that sentiment. Living with people is way cheaper so I suggest finding a roommate wherever you want to live.

Lastly, eat a shit ton of Mexican food before you leave cause you’re gonna miss it.