You will have a blast with your daughter on the ship...
We have cruised twice with our son, 1st time he was 8 months old, 2nd time 23 months. The crew and other passengers were great with our son. The crew really enjoy seeing a baby. They played with him constantly. Only the Suites have bathtubs, so make sure you bring something to take a bath in. You can buy a travel inflatable tub-this worked great for us both times. Also disposable bibs, and a small amount of laundry detergent so you can wash stains out right away and not let them sit. We brought bottled water, you do not want to risk the ship water upsetting her tummy. On the 1st cruise when he was 8 months old-we took a backback stroller only--bad idea, he could not lay down to sleep in it if he got tired. Take your good stroller-it is woth it.
Dining room--The wait staff was great--they would take his food and heat it if I needed them to, or they would bring me a bowl of hot water to sit the food in to warm it. Whatever I needed they got it. The most recent cruise-as soon as we got to our table in the dining room Marek (Victory Pacific DInging Room) would have a bowl of fruit for our son. This would keep him occupied unitl our food arrived. One night we left his sippy cup on the table---it was clean and waiting on us when we returned the next evening, I figured they would throw it out. Your TA can arrange for a crib and a highchair for you. We bring our Pack-N-Play also, just in case. You may want to bring your own sheets for the crib-our son is more comfortable with his own sheets and blankies. I only had to leave the dining room once, and another public area once because he was fussy. As long as you realize other people don't want to be inhibited by your kid, you and all the other guest will have a great time with your daughter.
We took our son to all the formal nights, I like to dress him up, and we have great pictures from the cruises. We had grandparents to help watch him on both crusies, and we took along a set of family radios that way if they had him and needed us they could just call us on the radios. Invest in good ones and they can even reach you in port at most places.
We did tip for our son, the room steward and wait staff worked really hard for him. I would consider the service your daughter receives and tip accordingly.
We took our son on shore with us, we have a video of him swimming with the sting rays in Grand Cayman at 8 months old!
Hope this helps some, Have a great time...We are cruising on Victory 11-16-03 with our then 2 1/2 year old!!!!
Amy