I drive for both uber and lyft, so what should the business be listed as on my schedule C? Rideshare driver?

Rideshare driving would be an appropriate work description for your Uber and Lyft line of work.

If you have an official business name for your rideshare driving business, you can enter it when asked if you have an official business name. If not, that's ok and you can select "No, the business is not named" when prompted the question.