When I was getting my pilot's license, not once was de-icing fluid ever sprayed on my little piper warrior. It might be a problem if you live next to a major regional hub in a cold climate, but for the vast majority of airports I would not be worried.
As part of the pre-flight inspection, a bit of Jet A fuel was taken out, inspected, and then dumped on the ground. Supposedly Jet A has lead in it, so over time that might be a problem. Airports tend to be huge in terms of
land area (5,000+ foot runways take a bit of space) so there's a good chance that even being right next to an airport you're a mile or two away from a major source of containment.