Welcome to AK! Long winded explanation here but it should do the trick.
First of all, the TEAC is a basic receiver. I don't know it at all but can see it has 2 tape loops which is handy. However it is not needed unless you are putting together a second system or need more speakers.
Second: Does he/she have Bose 901 speakers? If not then there is no need to think about the Bose 901 Equalizer either. But if so, read on.
The 3 Kenwoods together make up a powerful and versatile high performance matched set and don't need much else, except maybe more media sources.
If the system has Bose 901 speakers then just splice it in between the C2 and the M2A. (C2 OUTPUT to Bose EQ INPUT, Bose OUTPUT to M2A INPUT).
To include the ADC, 2 ways to connect:
1: Put it inline with the C2 to Bose to M2A chain
2: IMO better, run one of the C2 tape loops to control the ADC so it can be engaged/disengaged.
- Pick a tape loop (which doesn't matter - using TAPE A as an example here)
- Run cables from the RECORD jacks of that tape to the ADC INPUT, and the ADC OUTPUT to the PLAY jacks of TAPE A.
- To hear the ADC effect on the music, flip the tape switch on the front to A PLAY. To hear without the ADC effect, flip it back to SOURCE.
The KT-880D, somewhat obviously, should have its OUTPUT cabled to the TUNER jacks on the C2.
At this point (assuming there are speakers also!) you will be able to play the radio only.
A CD player can simply be connected to the CD inputs.
A tape deck can be connected the same way as the #2 method for the ADC above, using either tape loop.
A Bluetooth adapter might be the best first addition. It can be plugged into the AUX jacks.
If you want to add a turntable it is a little more involved - you have to know which impedence to set based on the cartridge. I suggest posting in the Turntables forum when you're ready.
Good luck!