Using pathauto to create multiple aliases, one for each term?
Under Configuration, if you go to Modules and click on Configure for Pathauto, you should see the option for the URL patterns. There is a section for taxonomy as well. However, I realize you want to change a node's URL based on the taxonomy term you've associated with it. At this point, it's just a matter of figuring out what token is going to do that for you.I have not used it, but I would imagine the Field Tokens module may help you do what you want to do. If you search for "pathauto" on that page, some people discuss using it with Pathauto down in the comments.