We are travelling from Córdoba to Ronda, then Ronda to Granada and trying to decide how to travel . We do not want to hire a car so wondering if anyone has a recommendation for either a reasonably priced private car transfer or ride share company. Thank you
The best way is probably the train with a change in Antequera Santa Ana. 2-3 hours. There should be buses too (but it is typically less comfy). It is too far for a taxi or similar.
Several Websites to consider for planning routes and timetables.
https://www.raileurope.com/spip.php?page=sales&re_domain=ptp&re_oper=results&step=results
http://www.andalucia.com/ronda/bus-timetables.htm
Have fun.
My above comment referred to the Cordoba-to-Ronda route. For Ronda-to-Granada, there are no trains all the way to Granada at the moment so it's either a train to Antequera followed by a bus to Granada (Spanish railways sell that as a single through ticket), or bus all the way.
I traveled from Sevilla to Granada a couple of days ago, by tour bus, and I noted with surprise that the high speed train line is not all the way through from Sevilla to Granada, the train goes to a town way north from Granada and then you complete the trip to Granada by bus. Surprising.