8032, 8034, 8532, and 8534 are the staterooms with the triple verandahs. The murphy bed is in the living room rather than the bedroom, making the living room mUCH larger. The cabins that have it in the bedroom you have to crawl over the murphy bed, it's very tight.
DCL will not tell you all of this. A lot of people have been very dissappointed with the other cat 3 cabins, as they have booked them to have privacy for mom and dad, only to find out one of the kids is in the bedroom with them
The larger Cat 3's are laid out differently than is show in the DCL literature. ALthough if you look at the 360 degree image on the Disney website it shows the larger stateroom. Notice there are three sliders rather than two--that's a hint right there that it's a larger cabin! The murphy bed is next to the sink, the wall has some inlaid design on it. It's a little tight trying to eat at the table in the morning while the bed is still down, we simply just put it back up each morning ourselves.
Yes, the for handicap cabins in the stern are also larger, with HUGE verandahs, but the verandahs are not at all private. Anyone at Topsiders looks right down at you. Also, I am not sure, but I don't think they have the jacuzzi tub in them.
Anne