Hi betavulgaris,
welcome to RuneAudio.
so I should probably use the HifiBerry DAC+ to connect to my NAD, right? Is this a good choice or would it be a waste for the NAD?
You can use any high quality DAC you want.
I personally love the sound from my Hifiberry DAC (DAC + pro) it's really worth the money.
DAC+ Pro advanced features:
[list=] Gold-plated connectors: Gold-plated RCA connectors ensure optimal connection to your RCA cables.
Dual-domain clock circuit: The DAC+ Pro uses its own on-board ultra-low-jitter clock generator. To have the lowest jitter values, there are 2 different clocks on board: one for 44.1/88.2/176.4 kHz sample rates and another for 48/96/192kHz.
Hackable: The board can be modified to allow external power supply for the analog part of the board. Also you can connect external I2S DACs. These features need soldering on the board. This will void warranty, but real hardware hackers have no problems with this.
[/list]
More important is that you use a high quality power supply, see above feature list.
Does anyone have experience with the HiFiBerry Amp+?
Yes i made multiple portable players with that DAC/Amp combo.
It sounds also great, but i wouldn't use it in my home.
You will need a very sensitive speaker (>90dB) with its limited output power rating.
What is the reason for splitting up a system into subsystems like: Player -> DAC -> AMP?
For me it's the given modularity. You can upgrade your system easily by swapping out components.
You can also separate power supplies from each other.
Frank