The DFG encourages early career researchers to engage independently in research from an early stage in their careers. The elements for funding research careers can be found here:
Research Fellowships are intended to help early career researchers to conduct a defined project at a location of their choice in a country other than Germany and to use it as an opportunity to familiarise themselves with new research methods or to bring a large project to a conclusion.
Here is some advice on submitting a proposal to the DFG. Which funding instrument is suitable for you? What makes a proposal successful? What to do if your proposal is not accepted? We offer plenty of help for novices.