Near the west side of this new overlook is the Batteries to Bluffs' east trailhead (around 473 steps). First five pics are of the east side of the trail. Sixth is View Point with its single bench, today with a downed post in the center.
Seventh is midway-ish where there's a separate trail with about 48 steps descending to Marshall's Beach. Eighth: Midtrail BTB before the stairs start steeply up the west slope.
The Batteries to Bluffs is hugely popular with trail joggers, as is the top of Battery Crosby, the BTB's west trailhead, with the ubiquitous skateboarders.
The Connector Trail (208 steps) ascending from the crosswalk at Lincoln has its share of trail runners too as it curves up to Immigrant Point Overlook (last pic: the footbridge along the Connector). As I was climbing up, a large group of schoolage hikers was on their way down.
My usual route down Rob Hill on Battery Caulfield took me past the Lobos Valley Overlook and out of the park at 16th Ave.