The Battery East's trailhead-stairway (about 152 wood steps) winds up from the west end of Crissy Field Beach. Near the Warming Hut (gift-and-coffee shop), it connects Crissy Field with the bridge and Coastal Trail.
This is another of my "Highly Recommended: Do Not Miss!" trails. Down these steps, then back up (first four pics), to continue on the improved, bike-friendly, under-the-bridge Coastal Trail, onto the narrow hiking trail, then the Golden Gate Overlook (nine steps up to a trail this time). The overlook is visible in the distance as you pass under the bridge and continue on the Coastal Trail.
Down the overlook's main stairway (about 37 steps), and west a short distance will take you to the Pacific Overlook, the park's newest. The Batteries to Bluffs Trail swoops steeply down near this overlook (fifth pic) and some of its 473 or so steps can be seen when you look down from here. The area was trail-detour-signed today but the BTB was fully accessible, so down I went (sixth pic).
Then a light rain started, intermittent throughout the rest of the hike. The dirt parts of the trail tended to be more slippery than the wood stairs.
From the BTB's west trailhead at Battery Crosby (seventh pic), 16 steps down from the battery, and up the trail to Lincoln. Cross at the crosswalk for the Connector Trail (208 steps) that curves through the woods to Immigrant Point Overlook (pics 8, 9, 10).
Just off Battery Caulfield Road, partway down Rob Hill, you'll find the Marine Cemetery Vista Trail/Mountain Lake Trail. From the foot of the stairway (about 103 steps, counting those on the boardwalk/trail at the top: last two pics), it's a short distance out of the park to 14th Ave.