micro amperes and millivolts data acquisition (1 measure/min) on 8 devices

Dear Arduino community,
I'd like to plot current-voltage graphs on 8 hand-made batteries. The problem is that the currents and voltages take a lot of time to become stable each time I change the resistance.
Would it be possible to acquire current and voltage with one or two Arduino boards connected to a laptop (or stand-alone. The simpler the better)?
1 measurement of voltage and current per minute is okay for me.
The voltages and currents are low (typically around 100 mV and 15 µA).
The graphing could be done on a spreadsheet program.

If so, what Arduino boards/shields should I buy (I live in a remote place and somebody could bring me the material at the beginning of January)? Are there plans I could find on the net?

Thanks in advance,
Frédéric.

You would be better off using two multi meters with serial interface on them they are quite cheap.
Otherwise it is an expensive exercises using external instrumentation amplifiers and A/D converters to get a decent resolution.

Thanks for your fast answer Grumpy_Mike!
Frédéric.