Base is designed for you to host a range of projects, either internally or from your community. Think of it more like your very own Pozible, instead of your very own project.
If you were planning to run just one campaign, it might be easier to manage as a project on Pozible. The functionality for embedded and self-hosted campaigns will be available shortly if you have a project you want to nest on your existing website.
You can start creating your campaign here.