I starting working more with multi-string tapping today and was wondering about an effective way to sort of mute the extra "pull off" sound I'm getting when moving up on the strings. I'm working with a sort of mute, but I'm curious how you all might be doing it. Thanks!

Try lifting your finger really slowly off the string - practice just pulling of the finger out of fretboard without producing open string sound No other idea what to do I guess, thats what everybody does..