> 2. How would I go about designing a simple circuit for this?
> 2a. It should have low power consumption.
> 2b. It should be reliable. When the set voltage is reached, it should
> terminate current draw from the battery somehow.

I suspect you will find all these attributes in chips designed for
monitoring such batteries. I would suggest you check out the range of
chips at Linear Technology, looking for 'battery meter' chips. Linear
Technology have also been good in the past at supplying sample chips
free of charge, although it is a while since I got anything from them,
so their policy may have changed since.
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