The way points of this bicycle route:
Broadway bike lane. Excellent riding, and there's only one lane of traffic going either way.
I take Broadway/Ohio until it ends onto Santa Monica Blvd. Might want to get on the sidewalk here.
From Santa Monica Blvd, I turn north on Westgate and then pick up Ohio again, heading east.
From Ohio, I get on Sepulveda, riding the sidewalks, but even though there isn't a bike lane, this part of Sepulveda would be acceptable to ride on in the street.
It's easy to cut through the Federal Building parking lot--I do it to avoid Ohio and Veteran. Ohio is busy here, and Veteran with the apartments is too narrow for my liking.
Kinross is a nice street (not represented well here on the map--it goes through straight to Westwood.