If I have a server in my personal office serving as the desktop would that be considered thin or thick?
That would be neither a thick nor thin client. That's the actual server. That's not really what we're getting at here. It is strongly recommended that you do not use your server/main computer as a workstation/desktop. It's best to have a dedicated server/computer for AC. The argument about thin vs thin client deals with whether or you have full-powered desktops or thin clients that connect to your server. Thin clients essentially remote into your server. All processing is done on the server itself. Thick clients grab the data from the server and process it. To use thin clients you really need two servers, one with your database/active directory/SQL server/Amazing Charts and a second one that handles the thin clients (terminal server).
and would you see an advantage to that scenario or better of with a desktop/server as my main computer in my personal office?
Personally, I'd keep a separate server/main computer for AC and have a desktop in my office. Many physicians do more than just basic office tasks on their personal computers. Web browsing, watching videos, copying things off cd/dvds, personal printers, digital voice recorders, using viewers for certain test results. So I think it's pretty obvious my recommendation would be a thick client. If you're just starting out, consider getting a server with SBS Essentials and a desktop.
maybe my question is too basic, but I feel like a first grader talking to a grad student with this stuff.
If you knew how old I was, it'd be more the other way around.
