Coming from abroad:
Ideally, check on flights to Valencia Airport (VLC), Spain and as secondary option, you can fly to Alicante (ALC), sometimes there are pretty good deals that makes it worth it.
Also, Barcelona or Madrid are very good options if you are planning on visiting other places. The communication between Madrid/Barcelona and Valencia is very good via train or bus.
By car, it will take you about 3h 30min from either one although Barcelona highways are not toll free (~40 euros).
By train, the communication between Madrid/Barcelona and Valencia is also very good. From Madrid, the high speed train (AVE) does the trip in ~1h 30min, but is a more pricy than the train that comes from Barcelona.
Here the train website: www.renfe.com
From Valencia, different options:
– Rent a car: About 1h drive from the airport. Rent a car at the Valencia Airport (Avis, Enterprise, Europcar, Hertz).
– Bus: There is a daily bus to Chulilla from Valencia (from main bus station) fairly inexpensive, usually leaves in the afternoon around 6pm from Valencia. Check timetables at Hispano Chelvana website.
– Taxi: It is probably the most expensive alternative but if you are 3 or 4 people that could be a feasible option. It will take you probably 1h and it will cost ~70-100 Euros.