According to the Game Database of ChessTempo, after 6.Be3, there are 3 main variations:

1. 6....e5: 1970 games
2. 6....Nc6: 1651 games
3. 6....c5: 1335 games

After 6....e5 white's main moves are 7.d5 and 7.Nge2. After 7.d5 black has two options: 7....c6 (counterplay on the queen side) or 7....Nh5 8.Qd2 f5 (counterplay on the king side). After 7.Nge2 black's most common move is 7....c6.

After 6....Nc6 the most popular move is 7.Nge2. After 7.Qd2 black often plays 7....a6 (the very best move in my opinion), and black seems to have excellent results after 8.0-0-0 (simply too dangerous in my opinion) with 8....b5 or 8....Rb8. The main line 8.Nge2 Rb8 actually transposes to 7.Nge2 a6 8.Qd2 Rb8, leading to a complicated position, where black has 2 plans: b5 or e5.

After 6....c5 black should be ready to play

• the pawn sacrifice after 7.dxc5. The statistics in the database suggest that black has enough compensation for the pawn.
• the Benoni positions that arise after 7.d5 or 7.Nge2 Nc6 8.d5.

In order to make a choice between these 3 options, you can search some games of strong players to see which type of positions suits your playing style the most.

According to the Game Database of ChessTempo, after 6.Be3, there are 3 main variations:

1. 6....e5: 1970 games
2. 6....Nc6: 1651 games
3. 6....c5: 1335 games

After 6....e5 white's main moves are 7.d5 and 7.Nge2. After 7.d5 black has two options: 7....c6 (counterplay on the queen side) or 7....Nh5 8.Qd2 f5 (counterplay on the king side). After 7.Nge2 black's most common move is 7....c6.

After 6....Nc6 the most popular move is 7.Nge2. After 7.Qd2 black often plays 7....a6 (the very best move in my opinion), and black seems to have excellent results after 8.0-0-0 (simply too dangerous in my opinion) with 8....b5 or 8....Rb8. The main line 8.Nge2 Rb8 actually transposes to 7.Nge2 a6 8.Qd2 Rb8, leading to a complicated position, where black has 2 plans: b5 or e5.

After 6....c5 black should be ready to play

• the pawn sacrifice after 7.dxc5. The statistics in the database suggest that black has enough compensation for the pawn.
• the Benoni positions that arise after 7.d5 or 7.Nge2 Nc6 8.d5.

In order to make a choice between these 3 options, you can search some games of strong players to see which type of positions suits your playing style the most.

      [FEN ""]
      [StartPly "11"]

      1.d4 Nf6 2.c4 g6 3.Nc3 Bg7 4.e4 d6 5.f3 O-O 6.Be3 Nc6 (6...c5 (7.dxc5)(7.d5) 7.Nge2 Nc6 8.d5) (6...e5 7.d5 (7.Nge2 c6) 7...Nh5 (7...c6) 8.Qd2 f5) 7.Qd2 (7.Nge2 a6 8.Qd2 Rb8) 7...a6 8.O-O-O (8.Nge2 Rb8) 8...b5 (8...Rb8)