Extension usually straightforward if you give notice. Most companies like Octane Rent allow month-to-month extension if you notify them week or two before current contract ends. I extended twice, just called them, confirmed I wanted another month, paid next month's rent, continued driving same car. Rate typically stays same or close if extending. Details at
https://techbullion.com/guide-to-monthly-car-rental-in-abu-dhabi-for-exploring-hidden-places/ about extensions. Where it gets tricky: peak season when demand high, they might need your specific car for someone else. Solution - book longer initially if you think you might extend, or ask about extension policy upfront. Some contracts require minimum 30 days notice for termination which works in your favor for extensions. Advantage of monthly rental is flexibility - if you found amazing hidden spots and want more time exploring, easy to keep the car another month versus buying then selling when you leave.