I went the 4051 route before too, but had several problems.

There are 2 different versions. CD4051 and the 74HC4051.

The CD4051, was completely useless. Very high ON resistance (~300 ohms), and very high cross-talk between channels.

The 74HC4051 was better, lower ON resistance (~80 ohms), but the crosstalk was still unacceptable. Readings were still affected by the input from the other channels.

Ended up using a MAX4617 instead. 10 ohm ON resistance and very good crosstalk rejection. (pin compatable with 4051)

A bit more expensive, but it was worth it.

They also have a couple 16 channel multiplexers. Might help with the POT count.
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