How can I create a page link on my website that doesn't require users to log into facebook?

[Lia]

There is no way to do that. If you post a link on your website that leads to your facebook, whoever clicks it will have to log in to see your full profile. If they don't log in, all they will see is your profile picture, your networks, and a list of mutual friends, if any. It depends on your privacy settings. For example, my privacy settings don't allow people to see my profile picture, my networks, or my friends... all you see is a little button that says "send friend request."
The closest you can get to what you want is to disable ALL your privacy settings. The person that clicks your link will still have to log in, but they do not have to be your facebook friend in order to see your whole profile (that includes photos, videos, apps, friends, everything)