Thank you for your response. It was helpful, butI need further clarification due to my lack of detailed understanding of A records and of the Cloudflare control panel.
In the control panel DNS screen, I see 8 line items (for my domain and sub-domains) that look like A records to me. Were they entered here or did Cloudflare copy them from my registrar? I was assuming that the entities that are routed through Cloudflare were ones I entered in this control panel. Cloudflare uses them, as I understand, to send and retrieve my site’s data, but Cloudflare has placed A records of its own making (and pointing to its server) in the replicated public DNS servers around the world. So that visitors go to Cloudflare, not my site.
Thus, to tell the world where my site is, I tell the world nothing directly. What Cloudflare has told the world is still true. To spread the word about the new server around the world, I just need to tell Cloudflare the new location,; the rest of the world is none the wiser.
If this is correct, then I need to (directly, not through an external site that gets replicated to Cloudflare) change the A records found on the DNS page. To do that, it appears that I need to delete the current A record (since I don’t find a way to edit them) and create new ones to replace them.
Have I misunderstood?
Thanks a million for your support, I am (almost) clueless about this level of technical detail.