You can get ice from your room host and fill up in your room. All the water onboard is processed the same way, whether from the drink station, or from the tap in your room. Also the same water for making the ice.
We take our water bottles with us, fill on the ship and take on our excursions. Very easy and saves money. I got them on sale from Disneystore.com. They've got an insulating sleeve and a strap to make them easier to carry.I can take water in that off of the ship when in port?
I thought so. The wife was asking if we should bring ours and I wasn't sure if it were a good idea or not because I don't want to give the impression we're drinking and trying to sneak alcohol around the ship.