I think my problem is divided in two parts. I created a custom taxonomy called "Type" and within it, I have terms (tags) like "cool", "sad", "amazing"..and so on.
1) I want to associate an icon for each one of my terms.
2) I want to display those icons (within link to the term archive) in my front page, like a feature image for each post.
No idea how to do that. Help please.