Consider me caught! The cold things I was passing along based on what I'd heard before. I aplogize for spreading folk lore. However, symptoms or no (feeling sick or healthy), my vet has recommended sanitizing hands before handling birds (he must be referring preventing the spread of bacteria).
As I think on it, it would be unusual for viruses to be transmitted easily between birds and humans, but I would say that it MUST be a possiblity in some instances. After all, animals are the vectors for influenza in humans (bird and swine). So, I suppose you would have to be the lucky victim of a viral mutation from a sick bird get a viral infection froma bird (or vice versa?).