I currently have a certificate for Synology.me and it works well. But would like to change it to my new GoDaddy domain. I do not know how to get a new/renew the certificate on my Synology NAS.
Is there documentation for this?
Please fill out the fields below so we can help you better. Note: you must provide your domain name to get help. Domain names for issued certificates are all made public in Certificate Transparency logs (e.g. crt.sh | example.com), so withholding your domain name here does not increase secrecy, but only makes it harder for us to provide help.
That domain name does not have an A (or AAAA if IPv6) address in the public DNS system. Perhaps you created one in your local hosts file so it works on your local network.
Using the Let's Debug test site is helpful when starting out
Sounds like the Synology device and LE works on it as advertised.
Now you want to change the name of the Synology device and reissue a cert for that new name.
I think you might get better help on how to change the name and cert of such a device from the device support channels.
For more details on what becomes public when a Certificate Authority (such as Let's Encrypt) signs a certificate search for Certificate Transparency. Thus if you use an reputable Certificate Authority your domain information is publicly available to everyone, not sharing it on this forum won't hide your domain just make it harder for us to assist you.
Here a few of the many search results for Certificate Transparency.