lein on my home

The credit card company would have to sue you, first, and that would start with papers getting served on you.  If they win the lawsuit, they would get a judgment, and that judgment would be a lien on your property.

If the real estate is in a different state than where the lawsuit is brought, the judgment is only good in the state where it was issued.  But the courts in the property's state, on a simple lawsuit, would "domesticate" the foreign judgment by issuing a new one that could be used there.