Actually, if you arrive on the 18th, you'll have missed most of the celebration days, but be just in time for the big day, March 19th, San José. If I'm not mistaken (can anyone confirm?), that's the day when they burn down all the different "fallas", culminating in the falla mayor that evening. It's awesome.
So, if you get to Spain on the 18th, find a way to Valencia, that very same day if possible. It's not that far (three hours by car) and there are plenty of trains too. However, if you decide to go, I'd book both transportation and accomodations now!