Our website is hosted by hosting company HA under domain D on a shared hosting plan. I would like to switch our hosting provider to company HB and I am willing to purchase a new SSL certificate for that purpose. I explicitly do not want to migrate the existing certificate, because I do not have access to the server on HA.
My question is if both HA and HB can simultaneously each have an independent certificate for the same domain D installed?
If so, will the new site work seamlessly under SSL as soon as I switch the domain over to HB or do I have to "unregsiter" the certificate on HA somehow before I can install a new one on HB?