Do you know of a good place to look at where those locations are exactly? We are staying at the Dolphin in October, and I would like to see how far a walk those spots are. I've been having walking issues for going on 5 months now, so debating driving vs taxi vs walking to the Boardwalk/Yacht Club.
I'm not positive, but I believe the parking lot trams have been discontinued during the pandemic. If I'm right, that means if you drive your own car, you will have to walk from where you park your car to the theme park entrance. I assume there are handicapped parking spots - I'm not sure what is required in order to use one.
Driving or Uber/Lyft/taxi to Magic Kingdom would mean going to Transportation & Ticket Center, not at Magic Kingdom. You would have to take the ferry or monorail to Magic Kingdom from there. Only Disney buses can go directly to the Magic Kingdom. This does not include buses from Swan/Dolphin.
If you are contemplating Uber/Lyft/taxi pickup at the theme parks: I don't know where the pick-up spot at each park is these days. Years back we did this at one of the parks, and the pick-up spot seemed like a very long walk from the park exit. So that is something for you to contemplate.
To get from Dolphin to DHS, typical advice is to walk. To get from Dolphin to MK, some people do a mobile restaurant order at Contemporary, so they can Uber/Lyft/Taxi to that hotel and walk to Magic Kingdom from there. If you have walking issues, however, you might find those walks to be too long for you. I don't have walking issues, and I always feel like I'm walking much longer than I had anticipated on these routes.
As for walking from Dolphin to Boardwalk or Yacht Club, if you want to take the bus from there -- without being rude, I worry that if this distance is too far for you to walk, then you will have problems at the theme parks (which require a ton of walking). Perhaps you are planning to get a
scooter or wheelchair when you arrive at the theme park, and didn't mention it because it was not relevant to your question.