Framer Base Kits are designed to streamline the design process within Framer by providing pre-created styles and breakpoints. Each of the three versions—Carefree, Organized, and Advanced—includes a set of font styles, color styles, link styles, breakpoints, and shadows. These kits address the limitation in Framer where copying colors, fonts, and links is not feasible, allowing users to start their projects without the need to spend time setting up these elements manually.