I mostly use DHL, UPS or FedEx, always traceable, whichever works best for the individual shipment.
Shipping cost is covered by the buyer.
Examples of costs, depending on weight and measurements of the parcel:
Within Sweden: 230-300 SEK
Within EU (examples from France, Italy and the Netherlands): 650-900 SEK
Non-EU Europe (examples from Great Britain & Switzerland): 400-1100 SEK
USA: 700-1600 SEK