I’d do the car service for peace of mind, traveling is so stressful it’s made a huge difference to me making the switch from rideshares for MCO transit. The car will be there as soon as we’re ready and I have no concerns about everything fitting.
If you must rideshare take the advice above and play around with pricing at the time you expect to have your suitcases. This will help you budget better because surge pricing can blow your savings over a private car right out the window.