The Paradise Cove beach is pristine, the tide pool discoveries plentiful and the views beyond magnificent - especially on a clear, sunny day. There's also a pier here with views from Palos Verdes to Point Dume, which the website says you can walk down, even fish off of - though I've done neither.
The catch here is that parking is a whopping $25. To avoid the hefty fee, spend at least $20 at the Café and you pay only $3 for 4 hours on the beach. Let me let you in on a little secret: it's totally worth it. See more at Go Explore Nature: http://tinyurl.com/7b44bky