Looked for domain renewal pricing to see what the cost would be with Cloudflare vs Namecheap. I would like to know if it is less expensive or not before I start the process.
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Cloudflare charges for domains at cost (registry wholesale price + ICANN fee) so it should be cheaper. This means prices can vary, even within a TLD, due to premium domain pricing. Many registries also prohibit publishing their wholesale prices so that’s why it may seem odd Cloudflare doesn’t have a price list for domain registration/transfers.
If your domain is already added to Cloudflare (and it will need to be before you can transfer the domain registration anyway, note that you must use Cloudflare’s nameservers), you can check the domain registration tab for pricing.