We really liked the Hilton for the accommodations aswell as the location. I have not stayed at the Hyatt and can't comment on it's exact location. But I felt very much a part of Disney being so close to DTD. We could just walk over and get right into the atmosphere of the place. I have stayed at Boardwalk and would call this a next favorite location if you want to feel "right in the thick of Disney".
Now, maybe not everybody likes the DTD area as much as we do, but my three kids have a great time just visiting the shops and playing with the various toy centers. There's some great food for every price point.
The transportation from these resorts is not superior, but I would argue that it is better than some of the Disney owned resorts. Having stayed at many different spots from the All-stars to the DVC villas, we have tried a lot of the busses and found the DTD systems to be very reasonable.