The Bridalveil trailhead is near the west end of Yosemite Valley, just down the hill from the Tunnel View. During spring runoff, parking can be scarce, a problem exacerbated by the valley shuttle buses not venturing this far west - something I would remedy first thing if I were king of Yosemite. Also I would implement the death penalty for drivers who ignore the slow-vehicle turnouts, so maybe I shouldn't really be king of Yosemite. But I don't think any reasonable person would object to extending the bus routes out to Bridalveil Fall, and stopping at the Tunnel View as well to accommodate Pohono Trail hikers who don't have multiple cars to post at each end of the route.
In case clicking on the map doesn't pop up a larger version of it, here's a direct link to one (500k download).