No, you won't find any self service washers/dryers on any Royal CAribbean or Celebrity ship. They do however, have a laundry service, and yes, you can bring along your steamer. You can also pack your finer clothing in the plastic cleaner bags, no wrinkles that way, I pack with them all the time and haven't needed to iron anything.
Ouch! Wasn't aware there were no laundrymats on RC ships. So, is someone out there willing to break it to me how much they charge to do your laundry for you? And how reliably do they get your particular items to you (and not someone else)? I may be packing more clothes....
If you ever need your clothes just pressed......................We usually send clothes out to be pressed when we get on ship. It doesn't cost much at all and they do an UNBELIEVABLE job. The last thing I want to do on a cruise is iron!!! So, bring a few extras and send them out for pressing!!
To check out the prices for laundry service, go the RCCL site, click on Customer Support and then Frequently asked questions and there you will find out what it will cost to have things drycleaned, ironed etc.