Back behind UC Berkeley is Strawberry Canyon. Good trails for hiking and running. Lots of folks take their dogs up here too. Unfortunately, no bikes are allowed.
On clear days you have incomparable view of San Francisco, the Golden Gate, Mt Tamalpais, Berkeley and the surrounding East Bay.
Besides a waterfront run to Emeryville, this is my favorite course during the summer months. About 7.5 miles from the trailhead to the top of Grizzly Peak and back.