I have a central server and I want to purchase a SSL certificate for it. The architecture is based on this central server and many connected web-servers which are on the client-side (one for each user). A client could access both the main server and its local server. Moreover the two servers exchange data between them. I would like client's web browser to trust all servers and always activating https and a secure connection when connecting to them.
Assuming I can name all servers on the same domain name (I was thinking about a wildcard certificate anyway), which kind of certificate or use of it can make these secure connections working? There is the possibility that main server and client side server are not connected for a while. Is possible to activate an https connection for a client to its local server in this case? When I will need to renew or change the certificate, I would like to change it just on the main server avoiding to have the need of touch all the servers on the side of clients. Can I do that in some way?