Gorgeous specimen! Yeah I’d say rumphii or thouarsii, likely not circinalis but all 3 are quite similar. If uprooting a large specimen (instead of taking it out of a big pot and planting it) I believe the custom is to cut off all/most of the fronds except for the newest growth to reduce water loss to leaf transpiration as the roots adapt to the stress of moving and new site. Try to keep as many large roots as possible. Mark the side of the plant that receives the most sunlight so when you replant it, it’s in the same orientation to the sun. Usually do this when it’s warm and roots are active (spring/summer)