We drove the last time we stayed at the swan but other times we have stayed off property we just used uber (although that was before kids lol). You may want to check the Swan & Dolphin thread. Could be some helpful info there.
We've used Tiffany Towncar and we've used Uber/Lyft more recently. You can also use Mears Taxi as well. With the demise of MDE and Mears running their own service I won't be shocked if you don't find S/D getting bus service to/from MCO once the new Mears Connect launches.