Neither, Benoni Defense. :p
NID with QID, BID, or QGD

I started out planning to play the Nimzo/Bogo combo, but then I took up the QGD as the post Nf3 dodge until I realized that that was too much to learn and ditched the Nimzo in favor of the QGD.

I don't play this very often, but I figure if draw is okay, then Q.G.D. (I am very comfortable in those positions for both sides) and if I need to win, then Benoni, where white has lost the chance to play his best line (Taimanov).

One reason to start out like an Indian 1...e6 2...Nf6 is that when white chickens out with 3 Nf3, they can't play the best lines of the Exchange QGD where Ne2 is a much sharper setup to face.
If possible, I head to the Tartakower.

@DrSpudnik the QGDE is playable with Nf3 because you can play for the minority attack with b4-b5. But then the Nf3 development should still be delayed because white in the normal QGDE move order needs to stop black from developing the LSB and thus should play moves like Qc2 and Bd3 first, claiming the f5 square. Only then you can play Nf3 without fear of Bf5, and if Bg4 then Ne5. It's a move order thing. But certainly the immediate Nf3 is not challenging to black if white plays cxd5.

@GoBlue they are very different. I'd advise learning both so that you can be ready to employ either in a game situation. But if you must learn one, I think the Q.G.D. is maybe more Nimzo-like and also there are some variations like the Ragozin whre you can play an early Bb4 also (although they are sharper than most normal Nimzo lines). The Q.G.D. is a big enough opening that there are plenty of lines to choose from and surely one of them will be up your alley.
For Nimzo Indian devotees, if white plays 3.Nf3, which secondary defense do you respond with?
a) transpose to QGD with 3...d5
b) QID
c) BID
d) Benoni
Why? Please compare and contrast these openings to illustrate your choice.