I agree with
twirly123; the refurbished rooms are extremely nice and very comfortable. I would recommend the Swan over the Dolphin, as it's about half the size and easier to get around. The Swan's pool area is also more sedate, which might suit your needs better. The staff is very good; I find them to be friendly and cooperative.
In my mind, the only noticeable differences between the Disney-owned and operated resorts and the Swan/Dolphin are lack of Magical Express transportation, and the daily resort fee of $23 (which provides each room with two free bottles of water, per day, free local and domestic phone calls from the room, in-room internet, and use of on-site health club). If you park a vehicle at the resort, the daily charge is $18 for self-parking. The Magic Bands will not work to open your room door, either.
Complimentary transportation to the parks and Downtown Disney is provided by the same motor coaches and ferry boats that operate to/from the BC and Boardwalk resorts. The Boardwalk area is a very short walk from the Swan/Dolphin, and Epcot and Hollywood Studios are also within walking distance.
I would recommend asking for a newly-redone room with a balcony and on an upper floor, if you decide to book. The beds at the Swan truly are heavenly, just as Westin's name describes!
As a frequent guest at the BC, I have no qualms about staying at the Swan; sometimes, it seems a better choice, when I'm looking for a short break from all of the Disney hype.