It is not the trip that gets the price up, the island is not that big and you are not going far.
It is the number of furniture pieces and the number of boxes articles. They have to pack them, move them to the truck, drive them then take them out and onto your place and maybe also unpack.
So several hours of body tiring effort in the heat.
Cheapest would be a crew of maybe 3 or 4 you hire. They get the truck and you just guide them. If they get the truck and there is an accident you are in the clear, you just give them the money for the truck.