Best I can remember, the laundry room on 7 is just across from 7590 - so it should be down the hall from you, but not TOO close. It really seemed quiet though, so not to worry. Although, I really got worried when I saw women in there ironing T-SHIRTS???
We were able to stuff our smaller suitcases inside our larger ones (mostly softsides or duffles) then slide the whole thing under the bed. There really is a lot of "hidden" space.
Enjoy your cruise!