More detailed information in public parking can be found here
From Oakland International Airport or San Francisco International Airport, take Bay Area Rapid Transit to Stations of Civic Center/Powell/Montgomery/Embarcadero. Then take Muni T-Third Street line form any one of these stations to UCSF Mission Bay.
The TripAdvisor provides a comprehensive review on the hotels, hostels, and other possible means of accommodations in the Bay Area. Tip: Airbnb may serve as another alternative if you are tight on budget.