I am taking the IRYO train from Madrid upon landing, to Cuenca, for two nights, and then on to Valencia, for 7 nights.
Just take taxi from airport to Atocha to get the train; book tix in advance. Taxi is a flat fare of, as I remember, 30 euro. IRYO has a nice waiting area at the hotel across the street from Atocha.
Of course there are flights from Madrid to Valencia but wifi you have already booked your tix to Madrid and not to Valencia with change in Madrid you have the hassle of leaving security zone, getting luggage and checking in again. Big mistake to not have bought one ticket to Valencia via MAD.
Valencia is lovely; we are going late November when weather should be great....I've not been back in about 10 years but its just a remarkable city, ignored by many tourists...
Then renting car to go to Denia for food....already booked El Baret for two nights out of our 5 in Denia.
Good restaurants usually serve paella for lunch and for two persons. All are made in large pans, the best cooked over vines/wood.
I would not both going to eat paella in the rice fields..was not wowed by my lat visit there..
I've already booked Llisa Negra in Valencia but there are other places..many. Lisa Negra is owned by Quique Dacosta, among Spain's most respected chefs. (Michelin three-star in Denia which we will skip) Many of "the best" paella places are not in central Valencia...but you can take a taxi. Depends on how much a fanatic you are........
https://www.llisanegra.com/en