The document is usually called a Release of Lien, Lien Release, or a Deed of Reconveyance. It can be prepared by the owner or the Lien Claimant, but it must be signed by the Lien Claimant in front of a notary public and filed in the property records in the county where the property is located.
While credit card companies technically have the ability to pursue your home for unpaid debt, it's rare. A debt collector must go to court and get a judgment before it can place a lien on your home. There are limits and exemptions to how much of your home's equity a debt collector can claim.