The closest you could fly would be Fresno (FAT.) You would need to rent a car there to drive the final 45 very easy miles to the event venue, which is just off highway 99, the main route from Fresno. You could also just drive from LAX - about 180 miles, but that is not quite as easy as it includes some downtown LA and Southern California freeway driving. Those would be my preferred options. The train (AMTRAK) does not leave from LAX, so you would need to get to a station in central LA or take the shuttle bus to the Van Nuys Flyaway and walk/cab to the nearby Amtrak station. The closest full service rail stations to Tulare would be 25 miles away at Hanford and rental cars would be rather difficult to arrange there, or Fresno. Much simpler to just fly into FAT (or LAX) and rent a car.

Are you planning to stay a night or two in the area of the Expo? If so, be aware that hotels in the area fill up during that time so it is a good idea to book ahead. There is not a whole lot to choose from in Tulare, but hotel options are fair in nearby Visalia or even Fresno, near the airport.

JR