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The proof of claims process will be the same as it would have been at the beginning - when the case was first filed.
Each creditor that is likely to be paid something will receive a notice from the Bankruptcy court that they should submit a "Proof of Claim" form to the Bankrutpcy court. If all debts were non-priority debts (the ones you listed are), each creditor will be paid in proportion to the debt each is owed.
This is process is something that generally does not involve the debtor.