The easiest setup is to provide a new Azure Stack infrastructure for a new data center without a preexisting infrastructure that needs to be integrated or connected. The most important question then is, whether to set up Azure Stack with or without internet connectivity for authentication.

Azure AD connectivity means that lots of different directories can be connected directly using Azure AD. So a direct connection means that all authentication tokens are provided via the internet.

ADFS-based authentication is bound to one domain, but as this will be an in-between one and all ADFS connectivity is bound to this in-between domain, this may be a little bit more complex with some more points of possible failure.

Setting up Azure Stack then means, providing the appropriate racks, power, and internet connectivity somewhere in your data center and starting to offer your services directly with Azure Stack.