Yours is a difficult reception situations because you are blocked from direct reception of the San Francisco transmiters by a mountain: actually, the Sacrement stations are likely to be an easier choice than SF when looking for TV reception. You are likely to need a large VHF-high-band plus UHF antenna mounted on your roof along with a rotator and a preamplifier to ger proper TV reception in your zip code. I would first consult your landlord and secure the rights to install an antenna on the roof before proceeding. You have the right to install an antenna on your roof if you rent and exclusive use to the roof, but you may find that the investment of several hundred dollars may or may not be worth your trouble.
http://www.fcc.gov/mb/facts/otard.htmlif you elect to install an antenna, you will need a deepfringe antenna for both UHF and VHF: you can use a combination antenna like a Winegard HD-7698P or an AntennaCraft HBU-55, or consider using a separate VHF yagi like a
Winegard YA-1713 plus an AntennasDirect XG-91, a combination that is more powerful than the combination antenna.
Providing a street address may yield slightly different results than using the generic zip code for your area.