Hi BDV,
Let me chip in. Forget the source to teac connection for now. You can bi-amp the speakers by doing just as you suspect, (and as described by John R left and right from one amp to the HF, left and right of the other amp to the LF, BUT remember to remove any links on the terminal panel of the speaker. ideally you would use 4 identical lengths of speaker cable, but if that isn't initially possible use identical pairs on each speaker.
If you don't have all the gubbins to connect the output from your Nano to both Teacs, you can still biwire. Connect identical pairs of speaker cable to left and right binding posts on the Teac (not easy - there isn't a lot of room) then connect the other end to LF and HF on each speaker (still remember to remove the links). Bi wiring does seem to benefit the performance, though not as much (obviously as bi-amping.
I guess the Nano only has a mini jack, so presently you must be using a cable with minijack at one end and phono plugs at the other. You will need to split this in the manner that ctviggen suggests but i would say that it will be better to use a splitter on the phono end rather than the minijack (though the mini jack splitter is easier to find and cheaper if you just want to experiment). Again make sure you keep the split cables both the same length.
Experiment by using the modded Teac on HF then LF you may find a difference. I remember biamping with 'sister' integrated and power amps using the speaker out on the integrated for HF and the power amp for LF - so I would expect the modded Teac to suit best on the LF, but have fun finding out!
Worry about the level of output from the Nano if and when you get it working, but keep us all informed.