Which is more important in transmitting the sound, the information...

It is not that the question is foolish, but it does demonstrate ignorance. The answer is more complicated than anyone who has responded in the thread (aside from myself) understands. 

For A) for max information transfer?

For B) for shaping sound?

This is too ambiguous.  What do you mean by "information transfer"?
And what do you mean by "shaping sound"?  I don't even know what those mean.  

As for "max information transfer", the information transferred is the same, so there is no "max".  I think you meant "max fidelity transferred".

As for "shaping sound", you probably meant "filtering affect" since every cable is a "filter" - for example a cable making the sound warm, neutral, upfront and so on.

Not sure why this question is causing so much confusion. The OP is asking whether he/she should first upgrade the CD to pre-amp or the pre-amp to amp IC.

And I'll avoid the short answer (which is that interconnects don't make much difference) because there's a LONG meandering thread on that already.

MC - great answer!

Maybe the OP didn't use the correct terminology, but I'll provide an answer to his query. Throw out the part about shaping the sound, it's vague and shouldn't apply. An equalizer and tweaks shape the sound.

IME, the interconnects from CDP to preamp will have the greatest impact and influence on the sound. Start at the source. You want a cable that will faithfully transfer the signal (information) to the preamp.