To do so, you will need to convert them onto a Disney Rewards card.
These work like gift cards and are valid at restaurants and shops throughout the resort.
I usually wait to get mine until I get to WDW, and then go and get it at Guest Services (I usually use DTD or MK depending on our first-day schedule). If you want to order it in advance from Chase, make sure you have at least 2-3 weeks to give it time to arrive in the mail before you leave home.
The rewards dollars cannot be taken out of your rewards account by the restaurant/shop just by using your regular debit (or credit) card - you must 'pull' them out of your account and have them put on a rewards card beforehand.