I'm not saying the problem isn't there - but it's scale is much, much smaller than the bbc would like everybody to think. I dare to say, actual racism in Poland (I can't speak for all of easter europe, and I won't) is a much smaller problem than in western Europe. And if someone states that tagging a wall with a slur is an indication of everybody being racist, I just have to question the logic behind it.
I've been to league matches in Poland, I've been to the national team matches - without a minimum of street smarts you might get attacked regardless of the color of your skin or ethnicity, but I hope that the vast majority of people are smart enough to know e.g. not to provoke that big, tatooed, drunk guy yelling crap at everybody. Situations that could, potentially, get you in trouble with the locals would get anyone in trouble, white, black or polka dotted.
If anything, you're more in danger of getting a ticket from the Police
Yac.