You'll have to make the best out of an oxymoron (Honeymoon/Toddler). Find a family friendly place with a luxurious room you can crash in at night. Run the toddler ragged throughout the day (I speak with experience when I say that's possible). Get him/her to pass out as quickly as possible. Then, be real quiet...and enjoy a few nights of...you know.
I usually sugesst my clients do 5 days one day at each park and a 2nd day for Magic Kingdom and also have 6 nights at the resort with the last day for rest and relaxation and maybe some shopping at Disney Springs a day away from the parks before the travel back home. I also suggest they have the dinning plan this way when you get there your food is already paid for and you will have some reservations at some of the best restaurants shoot I make sure to eat with Mickey Mouse everytime I go lol
The Disney Aulani Resort in Hawaii is very nice. It is definitely kid friendly but gives you the romantic feel of Hawaii. It is a bit pricey, but it might be good for the whole family without fighting the huge crowds of one of the Disney parks.
Stay away from Carnival if you go the cruise route and make sure you read age limits on other lines. Carnivals program starts at 2 years old, and I think other cruiselines are similar.....Ill be honest, with a little one, a cruise is the last thing I would have fun doing....go to Disney (and Im saying this as a cruising fanatic) ETA: I just looked around for you... Carnival starts at 2, Royal Caribbean is 3, Norwegian is 3 and Disney cruises is 3.... so you wont be able to drop off a 1 year old and have a quiet dinner at all.