Best Grunfeld move order

What's the best Grunfeld move order as Black against 1 d4 if I also play Semi-Slav as Black, am comfortable with the Queen's Gambit Accepted, but really don't like the cramped positions of the Kings Indian Defense?

I guess you don't choose to play grunfeld with white. 

the move order depends on what white plays but I guess what you're looking for it's more likely this. 

^ That's the Grunfeld main line, IIRC.  What do I play if White deviates early, say playing 3 e3 or something random like that?  Normally, answer would be to play the KID, but I don't like the KID and am wondering if there's another opening similar to Semi-Slav or QGA I could pair with the Grunfeld.  (or alternatively to play a Grunfeld move order that reduces the likelihood that White can easily deviate out of it, such as playing a delayed g6)

question if you're already out of theory why do you want to play the grunfeld? I do not recommand it to you, it's easy to go wrong with it.

3.e3 after c4 and d4 looks odd, the idea of the grunfeld it's to play against the center with modern setup so just continue with your regular setup, looking into the database for instance 1.d4 Nf6 2.c4 g6 3.e3 Bg7 4. Nf3 0-0 5. Nc3 d5 6.Be2 c6 as far I know it's white to decide what to do so you have to play accordingly.

Basically you're requesting a way to transpose into other openings but it's hard to give you a response because it really depends on what white play, my best answer is to learn the ideas behind the openings and try to adapt them to the real situation. 

I'm not an expert in openings but if you have a critical line I can try to give you an advise if it's a very generic question I suggest you to look to the database and stick to the main lines.  http://www.chess.com/explorer/ 

This is not correct, Grunfeld-Slav hybrids are common in certain lines of the Fianchetto Grunfeld and e3 Slav.

Yeah, basically, what I'm asking are two questions.  First, what is the Grunfeld move order that would give me the most flexibility to transpose to other openings I already play?  Second, if White does not play something that allows me to enter the Grunfeld main line, how should I play to transpose (as much as I could) into openings that I do play?

Goal is just to avoid being stuck with positions where I don't understand the pawn structure or themes and don't know what to do.

I just checked out Aronian's repertoire against 1d4 as Black, as he plays both Semi-Slav and Grunfeld.  He plays this line: 1 d4 Nf6  2 c4...

Then, he can play ...e6 if he wants the Semi-Slav or ...g6 if he wants the Grunfeld.  Since White has already moved both c and d pawns to the 4th rank, Black can attack those pawns a la the Grunfeld even if White then decides to do something weird in the 3rd-6th moves.

Thoughts?

Nf6 should e6 be the most flexible option but I don't think you can switch easily back to grunfeld from there, I'm not totally sure though. 

I would rather say that Nf6 e6 it's another galaxy of openings.

still I've got some trouble following you make a sample of some concrete lines which you  want to avoid or that you don't know how to respond to?

Trying to avoid something like this (only an example of a position I don't like):

http://www.chessgames.com/perl/chessopening?eco=E99

That's a King's Indian position.  Black is rather cramped.  Black can play c6 for counterplay.  Exchanging on e5 does not free the walled-in Black fianchettoed Bishop.

yep, sorry I've meant the move order, I usually enter in it with white once I play c4,d4,e4, I never happened to play a KID starting from a grunfeld.

so my point is after 1. d4 Nf6 2. c4 g6 with 3.

- Nc3 you're ok

- Nf3 you go with Bg7 and as long white doesn't play Nc3 you avoid d5 therefore you castle and if still nothing happen you go with d6 and possibly Nbd7 with the idea to push either e5 or c5.

- e3 shouldn't be really ok for white.

on the KID you look for playing on the king side, f5 it's the key move, white should play on the queenside.