With the setup you have, it would be very easy to access the 32 channels from LabVIEW, LabWindows/CVI, etc. I have attached a link to a KnowledgeBase article that discusses how to access SCXI channels:
http://digital.ni.com/public.nsf/3efedde4322fef19862567740067f3cc/6fc83b7ac9aca5788625615b00823d65?OpenDocument
These channel strings will provide you the raw voltages at the channels.
However, I would recommend using Virtual Channels in the Measurement & Automation Explorer(MAX) because you are most likely dealing with thermocouples and would like temperature readings instead of raw voltages. There is a good step by step KnowledgeBase article for creating Virtual Channels at:
http://digital.ni.com/public.nsf/3efedde4322fef19862567740067f3cc/31c55e253b023189862569850068
b8ae?OpenDocument
Virtual Channels allow you to quickly setup the scaling/linearization for multiple thermocouple readings.