King's Indian has many variations but I will try to be short. There are some variations which you should prefer and some to avoid. I can't provide you full information. It's better to look some books. By Eduard Gufeld, for instance.
Let's start from fianchetto.
[Title "White to move"]
[fen ""]
1.d4 Nf6 2.c4 g6 3. Nf3 Bg7 4. Nc3 O-O 5. g3 d6 6. Bg2
There are many variations there. If black play e5 or c5 it seems to suit your style. After Nc6, a6 and Rb8 position can be sharp or cannot. for example
[Title "White to move"]
[fen ""]
1.d4 Nf6 2.c4 g6 3. Nf3 Bg7 4. Nc3 O-O 5. g3 d6 6. Bg2 Nc6 7. O-O a6 8. d5 Na5 9. Nd2 c5 10. Qc2
There if black plays Rb8, b5 and after that e6 they can sacrifice the rook (by taking your bishop b2) and the position will be rather sharp. If black plays e5, Ng4 and f5, the position will suit your style better.
[Title "White to move"]
[fen ""]
1.d4 Nf6 2.c4 g6 3. Nf3 Bg7 4. Nc3 O-O 5. e4 d6 6. Be2 e5 7. O-O
In the classical line black can put knight on c6 and this position will be better for white if you know how to play. You can look how Vladimir Kramnik does it. If black takes on d4 and plays Nd7-c5 many pieces will be on the board. But this continuation is not popular nowadays. So, you need some theory in main lines.
There is another positional variant for you, but it works well only against inexperienced people who don't know how exactly to play with black. If black plays right, you will not even think about advantage, but otherwise your chances to lose will be very low. The pair of bishops is amazing.
[Title "White to move"]
[fen ""]
1.d4 Nf6 2.c4 g6 3. Nf3 Bg7 4. Nc3 O-O 5. e4 d6 6. h3 e5 7. dxe5 dxe5 8. Qxd8 Rxd8 9. Bg5 Re8? 10. O-O-O c6? 11. Nxe5 Nxe4 12. Nxe4 Bxe5 13. Nf6+ Bxf6 14. Bxf6
I would recommend you start from the last option. I get the position above very often