Often asked here and there are several options to chose from as others have already mentioned. Uber / Lyft, Private car services, and Mears are the most common. Rental cars from Alamo and National may be handy. You can drop / pickup your rental at the Dolphin (when it reopens) or at the Disney car care center.
You can also use Mears Transportation for Taxi, Town Car and Limousine services by calling them directly at 888-828-8850.
Some sample pricing: shared shuttle ($25 adult / $20 child one way) or ($39 adult / $30 child round trip), Lux sedan ( $99 one way or $122 per hour (2 hr min)), Lux SUV or Van $119 one way or $158 per hour (2 hr min)).
Mears link:
https://www.mearstransportation.com/ or you can use the Mears iPhone / Android app.
Dave