What are the very small white worms that come off or out of the dill when I soak the dill heads in water? I have used different solutions to soak the dill, such as water with a few drops of Dawn dish soap with some vinegar and also used hot water and always have a few worms in the water.
This could be Swallowtail Butterfly caterpillars. They commonly are found on Dill, though they love Parsley too.
Washing and rinsing your Dill should be all you need to dislodge the caterpillars.