When someone dies with credit cards and card balances, the credit card company should be notified of the death immediately. To file for probate in Texas, you'll need to fill out a Petition for Probate and pay a filing fee.This guide tells you how to use a Small Estate Affidavit to probate an estate in Texas. Bank of America accounts. Visit your local financial center or contact Estate Servicing Operations to speak with our dedicated team. This includes any real estate, personal property, bank accounts, investments, etc. The last step of the process will be to open up your probate bank account. You can do so at a local bank or credit union. I agree that you would be hard pressed to find a bank willing to issue a credit card to the estate. Trust. Accounts with arrangements to hold the assets in a trust.