So, to answer your question with a warm, reassuring smile: Chelsea is mostly a congestion-free oasis. You can drive to that lovely deli on the King’s Road, park (good luck with that, but that’s a different story), and enjoy your day without that £15 shadow hanging over you. Just keep your eyes peeled near the Sloane Square border—it’s the only place that plays hard to get.
Now go enjoy your Chelsea adventure. And maybe take the tube anyway? It’s cheaper, and you can people-watch properly. But if you must drive, you now know exactly where the line in the sand—or the tarmac—is drawn. Drive safe, and happy exploring!