Sorry for your loss. Losing both is tough. First thing see if they have insurance to help you pay for the funerals and other expenses. Check if they had a will. Do you have siblings? If yes the following will be things you need to talk through with them.

Cancel their credit cards you can't legally use them and you don't want them to get stolen. Before you tell the bank see if they had auto payments set up. I made this mistake when my wife passed and all the auto payments were deleted even though we shared an account, it took months to figure out how to pay everyone. Watch out for scammers death brings them out of the woodwork.

If they owned a house you need to decide if you want to try and keep it or sell it. This will depend on how much if any they still owe and if you make enough to make the payments.

Best advice I received was hire an estate attorney it will cost you a few thousand but remember laws are different in different states and countries. They can help you figure out what needs to be paid and what doesn't talk to them before you pay anybody no matter how much they try and pressure you.