There's no one "right" way to announce a relationship on Facebook, but there are a few things you should keep in mind. First, consider how public or private you want your announcement to be. If you're comfortable sharing your news with everyone on Facebook, you can simply post a status update or photo announcing your relationship. On the other hand, if you prefer to share your news with only close friends and family, you can use Facebook's privacy settings to control who sees your posts.