Reddit reviews Battery Power Management for Portable Devices (Artech House Power Engineering)
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Artech House Publishers
> Large scale project ... educational exercise
I don't understand: how can it be both a large scale project and educational exercise? Please give some background.
> 3S ... build a BMS
You really can't beat the price and availability of Chinese protector BMSs (PCMs). For 3 cells in series you're talking $ 6.
> I need to read the voltage between each cell
To be exact, it's the voltage across each cell.
> a sequence of voltage dividers
Lots of hobbyists have tried that: It doesn't work. Too much drain on the cells, and the tolerance is inconsistent from cell to cell.
> Second idea was to run a VCO
That's what's called a "distributed BMS". That could work.
> pulling only micro-amps ... opto-isolator
Nope: opto-isolator take milliAmps.
> Is there perhaps single chip solutions for this?
Lots. I prepared a list of BMS ICs for large battery packs.
Your battery is tiny, so that list doesn't apply. Look at Texas Instruments, the leader in small Li-ion battery ICs.
Background: I design BMSs for a living, and I wrote a book on the subject. A better book for you would be
Battery Power Management for Portable Devices, written by the TI guys.