I'm so glad to see this. Besides
Buena Vista Scooters, who else might have such a scooter, the one that easily breaks down?
Many of the Orlando rental vendors have models that can break down for easier transport in a personal vehicle. If I were you, I would select a few vendors, then call them, see they what they offer, costs, delivery options, etc. and then decide from there.
Couple of things to know:
Typically you (or someone with you) needs to be able to lift 50 pounds. That's often about the weight of the average largest "chunk" of the ECV when it's broken down. Not all are that heavy, but some are, so you want to be prepared. (By contrast, my entire personal ECV - without me on it - weighs only 35 pounds, and can fit folded in the back of my daughter's Chevy Spark... but no one rents that model in Orlando!)
Remember that you will have to assemble/disassemble that ECV every time you take it in or out of the car; depending on the time of year, it may be very hot in the parking lot. Make sure that you, or your helper will have the stamina to deal with that every time.
Last, but not least is once you have settled on a rental unit, do a Google search for more information about it. See if you can find the owner's manual - often there is good information in there that could be useful. Someone may have posted a YouTube of how the scooter assembles and disassembles; that would be great to see before getting to Orlando, so you are prepared!
Have a super trip!
edited to add
this link (from Walker mobility) that shows a typical rental disassembly process, hope it is helpful!