By "Arduino ground", are you using an actual Arduino board, or making your own PCB?
Biggest thing is to use 100nF caps on each power pin to ground. Use a 10uF cap nearby each "group" of ICs to remove any power dips. If you're making your own board, a 100uF cap at the PSU entry helps too. If noise is still a problem, you may need to use inductors between noisy components.
http://www.ti.com/lit/ds/symlink/cd74hc4051.pdfVee would be Gnd per TI's datasheet.
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