NYC vs LA - FDD Lateral to IB

I've secured an internship with EY's FDD group in NYC for next spring, and I've been told it would be possible to transfer to LA full-time.

I want to work in IB, and I'm going to be recruiting for FT analyst positions this fall. However, I'm not sure if I'll land anything given that I'm at a non-target and haven't done any IB internships.

If I worked for EY in LA, I would live with my parents and save a huge chunk of my income, which could be used for business school in the future.

While I think NYC would be an adventure, I'm not sure if the economics of paying >$2,000 in rent vs $0 makes it worth it. Would working at the NYC office give me more credibility/opportunities to lateral to IB? I understand that the NYC offices handle the largest deals.

Any advice is greatly appreciated, thank you!