Yup, Claude is my go-to now. Both models seem equally "intelligent" but Claude has a better sense of when to be terse or verbose + the responses seem more natural. I still use GPT4 when I need code executed as Anthropic hasn't implemented that yet (though this "feature" can be annoying as some prompts to the GPT4 web interface result in code being executed when I just wanted it to be displayed).
No joy:-(
Unfortunately, Claude.ai is only available in certain regions right now. We're working hard to expand to other regions soon.
ironically the API is available most everywhere, and it has an ok-ish web interface (they're really heavy on prompt engineering it seems though)