"I am still confused. Will we be able to get money from the ATM machines at the airport or not. Rick Steves said, "Yes." Some on here have said, "No." Only if the booth is a manned ticket booth.
I do not have the new type of card."
You have mixed up two different issues.
At an ATM, as said, your current debit card will work fine. This is how you get euro cash.
If you want to use a credit card at an unstaffed machines (say, in a Metro station), you need a card using the chip and pin system. A credit card without a chip and pin won't work in these machines. But you can go to a manned ticket window and use the cash you got from the ATM.
At places where you are paying with a credit card and dealing directly with a person (a hotel, restaurant, or store), it's almost never a problem to use your swipe credit card. If you're dealing with a younger and newer employee, there are reports here that you may have to show them how to swipe your card (since all French cards have been chip and pin for years, they may literally have never seen any other kind, and don't even know that there's a swipe slot on the side of the credit card machine, in addition to the slot on the front for the chip).
Of course, just as in the US, some places are cash only. Hence, most people take out a few hundred euros at a time from an ATM. If you need more, replenish as needed (ATM's are everywhere). If you have extra when you are leaving, you can use them to pay down your hotel bill, then put the rest on your credit card. Or save them for your next trip, or sell them to a friend going to Europe, so he/she has some upon arrival.