best for flights will be SAS direct from dublin,,
unless your in cork ,,
my opinion would be to stay in Uppsala,, lovely college town,, from the airport the bus ride is 25 mins,,,costs about 10 euro,, nice town to walk around and relax in,, there is an option then of getting the bus or the train to stockholm city from uppsala, if you just want to go in there for the day.. both are not so expensive
express train from airport to city is 20 mins, and is expensive
gamla stan (old town) is a nice part of the city..
also near the central station is a hotel,,, might be the scandic,, it hasthe vodka absolout ice bar,, really cool,, excuse the pun
used to only be open after 3pm, and booking is required i think.....
enjoy,, great here now,, sunny every day.....