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:
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: