Pretty, down home like a summer cottage!
Start by checking the nut height. Less than 1 mm between the first fret and the string is low enough to start with. You can use a pick of 1 mm, if it barely stays between the string and the first fret it's good. File the slots deeper if needed, the highest point being at the very edge on the fretboard side.
After having adjusted the nut check the action again. If it still is high check that the neck is straight. You're aiming to have it to give just a little in with the string pull, without the strings a stiff neck should be perfectly straight. You don't want a hump in the middle of the neck since that will buzz!
If all that is well and done and you still have your action too high, recessing the bridge by double the amount you need to lower the action at the 12th fret is an option. A lower bridge might also be available.