Plan on using a no fee/no FX fee credit card such as Capital One and use your credit card for most purchases. Get a small amount of SEK from an ATM in Sweden. Nordic countries are cashless societies with Sweden leading the cashless pack:
http://www.bbc.com/news/business-41095004
Why Sweden is close to becoming a cashless economy By Maddy Savage
Business reporter, Stockholm 12 September 2017
Sweden is the most cashless society on the planet, with barely 1% of
the value of all payments made using coins or notes last year. So how
did the Nordic nation get so far ahead of the rest of us?
Amongst the other typically Scandinavian touches - minimalist white
tiles and exposed filament light bulbs - is another increasingly
common sight in the Swedish capital: a "We don't accept cash" sign.
Coins and banknotes have been banned on buses for several years after
unions raised concerns over drivers' safety.
Even tourist attractions have started to gamble on taking plastic-only
payments, including Stockholm's Pop House Hotel and The Abba Museum.
"I like cards. I'm just angry because about a million people can't
cope with cards: the elderly, former convicts, tourists,
immigrants. The banks don't care because [these groups] are not
profitable," he argues.