In all cases, the customer is responsible for these costs,

They are additional to the cost of the lift and the delivery costs (via airfreight from Sweden).

Generally the courier company (e.g. FedEx, DHL, DSV, etc) will clear the goods through customs and liaise with you to arrange payment, before the goods are released for delivery. It is a very straightforward process.

The delivery company may ask if you have facilities to lift the package/wodden box (weighing approximately 100 kgs) from the delivery truck, e.g. a forklift or gantry crane.

If you do not have such facilities, the delivery company will use a truck with an inbuilt lift/crane.