Leningrad Dutch against Reti I like playing the King's Indian Attack against just about any black setup, except for when black plays the Leningrad Dutch style setup.

I had a look at how white is dealing with this situation and it seems that the double fianchetto with white pawns on b3, c4, d4 and g3 is not bad.

My question is about the different move orders that can lead there. 

After 1. Nf3, black can reach his setup via either 1. ... f5 or 1...d6. 

Is there any difference between these for the white player?

In which order shall I go for the double fianchetto setup described above?
After 1...d6 you could consider playing 2.e4. One of the biggest advantages of 1.Nf3 is it's flexibility and if you are looking for a quiet(ish) game then perhaps a Be2 (Classical) Pirc is your answer.

Against 1...f5 2.d3 has an excellent reputation I believe. (Idea is 2...Nf6 3.e4 and black is advised not to take the gambit pawn).
Worth noting is that 1.Nf3 f5 2.d3 Nc6!? I think the best move is 3.d4! Chess is a funny game.

If you are dead set on a double fianchetto, I guess fianchettoing the kings bishop makes sense first as you get to castle sooner (you can also consider playing b4 instead of b3 after you have castled).