I came in contact with some rodent feces today, what should my major concerns be?

Yesterday, someone in the house noticed a small furry thing running around in the basement. We have yet to get a good glimpse at the thing, so we don't know what it is.

Anyhow, I picked up a bundle of clothing that was on the floor by the washing machine and noticed a few chunks of what can only be described as rodent feces.

I know that their droppings can spread some pretty nasty diseases.

I touched it with my hands, since I didn't see it. I also probably disturbed it enough to cause some of it to get into the air.