By plane
Flights to Borlänge go from Stockholm, tickets can be booked online at the site of the airline Skyways (http://www.skyways.se/). Borlänge can also be reached by air from Malmö, Gothenburg and from Oslo, the capital of Norway. Tickets online at Direktflyg (http://www.direktflyg.com...) are also domestic flights to Mora from Stockholm. Tickets available online at the site of the airline Nextjet (http://www.nextjet.se/.All) airline sites have booking services in English.
By train
Most cities are reachable by rail, tickets can be bought at the website of the Swedish railway company SJ (http://www.sj.se).
By bus
Going by bus is usually slightly cheaper than by train. You can buy tickets at the website of Swebus Express (http://www.swebusexpress.se) Available in English.