I want to move to San Francisco...but need a job.

I think the SF bay area is a little more saturated with RNs than in most areas. It takes a little longer to land a position. More so for new grads. I would recommend you have a job secured first before you make the move out to the west.

Stanford is 30 min south of San Fran but is a great place to work & the nurses are paid very well. 100,000 a year from what my friends who work there tell me. I did a travel assignment there. Also, I hear they get 6 weeks paid vacation.

UCSF is another one that is in the city, so may be more convenient.

I looked into Stanford, but it is obscenely expensive to live there hehe. Do you have any recommendations of more affordable areas to live nearby.

Experience is what is needed before anything else to have the best chance of getting a job in the Bay Area.
Stanford is in the Palo Alto area, the rents there are less than downtown San Francisco.

Other areas for housing and working at Stanford would be Redwood City, Foster City, San Mateo; and only a ten mile commute or so.

Stanford does not start anyone with 6 weeks of paid vacation time, no hospital does.

The closest neighboring cities of San Francisco would be: Daly City, Colma, and South San Francisco. No bridges to cross and are within 5-15 minutes away from the San Francisco center (depending on traffic of course).

Colma also contains all of the cemeteries for San Francisco. Due to space constraints, you will not normally find anyone actually buried in San Francisco. So Colma is considered having a very large population, but only about 10% of them are living now.
Don't forget San Bruno or the other areas closer to the airport, still make for an easy commute to downtown as well as San Mateo area too.

Rents can vary in the suburban areas as well, apts can go for over $2000 for a one bedroom out of SF as well, depends on the locale and what it offers as well as amenities.

You can also go north into the North Bay and commute as well.

But I would do things in reverse and focus on a job first and then look for living quarters afterwards. It will be easier to do that way.

Best of luck to you.

Yes, there are some hospitals that offer 6+ weeks.