We have been configuring a dedicated services farm with SharePoint 2010. To start with we were under the impression that SharePoint 2010 ‘took care of’ load balancing farm services. This was almost true, with the exception of the Topology service which you need to load balance through traditional means.
There are a number of good articles you can Google about setting this up.
Once we had an SSL certificate for the host name we selected, we published a service and tried to connect to it from our other farm. The ULS logs showed an error “The root of the certificate chain is not a trusted root authority”. This article explained the process of importing the certificate chain into SharePoint so it was trusted.
This resolved the issue and we were then able to connect correctly.