Home prices in Oakland run 95% above the national median: $820,000 versus $420,000. Relative to the $80,000 median household income here, the price-to-income ratio comes out to 10.3x.
Property taxes in Oakland run 0.75% of assessed value, below the 1.1% national average. On the median home, that's $6,150 a year, or $513 added to the monthly payment.
California levies a state income tax on top of the $5,084/month this mortgage runs. Model your real after-tax take-home before deciding how much payment you can carry.
Oakland's cost of living index is 168, above the 100 national baseline. That's on top of the housing numbers above, not instead of them.
Oakland's median home price runs 8% lower than nearby Los Angeles: $895,000 there versus $820,000 here.