Facebook Pages (Facebook profiles for business and any non-personal accounts) have many options to help you best represent your project. As with Twitter, you have a header image, a profile image, a description, and a pinned post. You can also have a call to action button that can be quite useful. There are also many more options that may be available to you, depending on your particular category of page.
On Twitter, you have a bit of freedom. There’s a header image, a profile image, your twitter handle (aka username), your description, your website link, and, if you so desire, a pinned tweet. These elements are all fairly flexible. You want to make sure you’ve crafted each to reflect who you are and what you do.