Wowski,
Its a standard practice to ship tarnsformers and reactors in dry condition. The reactor oil is best drained under the pressure on Nitrogen gas and that minimises the exposure of the insulation paper to the atmospheric conditions. The trnasformer is to be held under slight pressure to see that no N2 gas leakage occurs. After around 48 hours again some oil can be drained out as oil will seep out of the winding and the paper and the insualtion.
Now if the reactor was in operation you can perform a FRA (frequency response analysis) on it before oil draining. After the oil has been drained under the presence of N2 gas the transformer is to be loaded in to the transport vehicle and there are devices fitted on the transformer to monitor the vibrations faced by the transformer during trnasportation.
alexk observations are also to be kept in mind and the suggestions are usefull. Generally for the weight you have mentioned you can use a crane for loading and unloading.
After reching at site and positioning the reactor at the proper location the same is to be vacummed and the n2 gas removed, then the proper properties insualting oil filled and filtered and reactor readied.
You can conduct a repeat FRA to verify that no transit trouble has occurred and proceed with the commissioning of the device.
Oil sealing gaskets can also be replaced during the exercise.
if you can communicate to me the exact conditions, the voltage class of the device, and the transportation methodology in brief detail i can make you a checklist to be followed, my email is gmazumder@indiatimes.com
hope you find this usefull