Actually, all three are pretty close. The thing about Polish is that in Polish words that are similar and understandable to Ukrainians are pronounced a little differently. My background is similar to yours, and it only took very little practice hearing Polish to adjust and start recognizing them -- and a lot of people from Western Ukraine, such as in the example above, have had that practice.

Similarly, a lot of Russians from Russia proper who have never been exposed to Ukrainian, find spoken Ukrainian very difficult to understand.