1) I don't understand which of these openings is best to play.
Find an opening you enjoy playing.
The Indian Defenses
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Nimzo-Indian and Grunfeld have "anti" lines at top GM play, so I'd consider those the "best".
They're called "Indian defenses" because top players at the time considered them inferior.
The Bogo Indian arises after white plays Nf3, hoping to avoid the Nimzo Indian which happens if white plays Nc3. Indian defenses often have fianchettoed bishops.
Karpov played the Nimzo and QID. The Bogo is also used at the highest levels, as well as the Gruenfeld.
They're called indian defenses because the move 1... Nf6 is the indian defense just like 1... f5 is the dutch defense (where you have the leningrad dutch and the stonewall dutch etc.) and then you move into different setups, ie the nimzo indian, QID, gruenfeld etc.
I've tried to include as many indian defenses as I could remember, hope this helps :)
^awesome website for openings made by:
http://www.chess.com/members/view/terchon
greenfreeze asked:
1) I don't understand which of these openings is best to play.
They are all called Indian defenses and start with 1.d4 Nf6
Nimzo Indian, Queens Indian, Bogo Indian, and King's Indian
The King's Indian was initially called the Ukrainian Defense.
It was developed by Isaac Boleslavsky, David Bronstein, Efim Geller, and Alexander Konstantinopolsky, all from the Ukraine.
Instead of asking the question here, you could have taken a quick look in the Wikipedia first 
They are called Indian Defences because they were developed by an Indian(the real Indian, not native indian), and not because they were considered inferior at that time, or because of some other bullshit reason suggested by some idiots here! I have forgotten the name, but you could easily get that in the wikipedia 
1) I don't understand which of these openings is best to play.
They are all called Indian defenses and start with 1.d4 Nf6
Nimzo Indian, Queens Indian, Bogo Indian, and King's Indian
2) What are the typical plans
3) Which is most popular and why?
4) Why are they called Indian defenses? Is it because in 1492 when Christopher Columbus discovered America, he also discovered the native American Indians also playing these chess openings?
5) What is a Bogo and What is a Nimzo?