First, I am amazed that you iron anything while at Disney. Please don't tell my family. I barely cook, forget about ironing!
Second, the answer to your question:
Dry Cleaning and Valet Laundry Service
Walt Disney World Resort hotels also offer dry cleaning and valet laundry services. Select “Housekeeping” on your in-room phone to schedule a pick-up. Laundry bags and price lists are located in your Guest Room closet.
Services are charged to your room and are payable at the Front Desk upon checkout. If you’ve elected to put a credit card on file for room charges, you will receive an itemized bill on the morning of your departure. If you have questions about your bill, you can visit the Front Desk; otherwise, your card will be charged automatically.
Sample rates as of February 2013 were: dry clean suit, $11.50; dry clean skirt, $6.50, dry clean shirt, $6.25; launder socks $2.00; launder pajamas, $6.00; launder tee shirt, $4.50. Pressing only is 75% of dry cleaning cost.