I have China Dolls, African Violets, And I thought it was a jade plant. Anyway I have these little black or dark flying insects, that are very small. I do not know what they are but they hang around the violets, and this plant I think is a Jade.
They also fly around me, and that is annoying. They are like a knat, but they have not offered to land on me or bite me. They just fly around and annoy.
What are they, and how do I get rid of them without harming my plants.

Look in "Plant Pest" this site under Fungus Gnats. You should find some treatment information there.