Ah.
Robert said the magic word: "
Advanced Workgroup Settings".
Up until now, i did not even think to click that button. Now, that i have, i saw the white box for SKILLS. but it is all blank. Took me a little while to figure out that the reason this box is blank, is because I have no skills created yet.
Once i created a few "test" skills, I was able to mark them in the Advanced Workgroup Settings, and thus successfully transfer calls to the same queue with diff skill based on customer's selection.
Seems like I'm going to need a default/catch-all skill that will be assigned to ALL agents, and will be assigned to those callers that do not make the selection. Otherwise, i'm going to risk a very poor customer experience.
I'm attaching a screenshot of what my test attendant profile looks like.