The use of a personalized CNAME / subdomain per sub-account is a feature available on the "Advanced" plan and above and requires a quick manual setup on our side.
Cloudinary can set up a private CDN distribution to deliver your assets, which will have a hostname of
https://mydomain-res.cloudinary.com(instead of the standard
https://res.cloudinary.com) and this will support both HTTP and HTTPS traffic.
Delivery of your assets can also be supported using a CNAME record from your own subdomain (e.g.,
http://assets.mydomain.com) which will work for HTTP traffic without any additional setup or costs.
Cloudinary also supports the delivery of HTTPS traffic via your own subdomain and there are additional costs for this to cover the provisioning and management of the SSL certificates which are deployed to the CDN edge servers.
Please contact us via a support request if you'd like to set up a private CDN distribution and/or a CNAME from your own subdomain.