DNS subdomain catch-all linking to my external address

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http://serverfault.com – First of all, I'm not that into DNS, so maybe the answer to this question is very obvious, sorry in either way. What I want is this: A DNS record which catches all non-existing subdomains on my site and link them to the external address of my site. So, not to my internal IP address, but to my external hostname. I'm using CloudFlare and want to hide my server IP to the public, by setting it behind CloudFlare. When doing a ping then brings the IP of CloudFlare. Examples: www.example.com -> www.example.com existing-subdomain.example.com -> existing-subdomain.example (HowTos)