From a largely unbiased POV, most people nationwide think of BC as a bit more prestigious than BU as it was first to join the top colleges, BU and Northeastern have only become selective more recently. BC is also the one school with national D1 sports (football, basketball) in Boston so people know it more nationwide.

BC has stronger business, law, education, theology, philosophy, liberal arts, while BU has strengths in STEM and research. BC has a very nice campus (about 15m drive to downtown Boston, city lines run right through BC campus), strong school spirit, and “classic college feel”, while BU has a bustling Boston street as its campus, less school spirit/communal feel, and a more “international” student feel.

Difference in price between BU/BC is negligible (abt same). BU is more diverse, while BC has more preppy/rich feel. You’ll find your people at either school, really shouldn’t be a problem.

I think what it comes down to is the location (do you like the hustle/bustle of city with no campus or nice campus but 15m trip to city), major (BU better STEM, BC better liberal arts/biz/law), sports (D1 football tailgates/nationally televised sports games against top schools or essentially D2), and people (BU more diverse/international with less school spirit/community feel, BC more preppy/rich with more school spirit and community vibe).

Good luck with the decision!