I always board with as little stuff as possible. I have four children so I always pack swimsuits, goggles, sunscreen, camera, computer, travel docs/ passports and any medications we need for the day. I usually carry one lady's over sized purse or beach bag and my husband carriers a small bag with the camera, computer and travel docs.
We always fly in the night before...we are from CA. When we fly each child is allowed to bring one 'small bag' of entertainment items. Before we go to bed I reorganize the suitcases and put all of our 'carry ons' items from the plane into our suitcases. I then move the 'carry on items' for the cruise to my 'day' bag.
You do not want to pack to much stuff ... you will have to carry it around the ship with you!