1- Picking Hand muting :
a) Palm muting : generaly for strings above (lower pitch) the one you're playing.
b) Free Fingers muting : If you hold your pick between index & thumb , you'll have three fingers free to mute the strings below (higher pitch) the one you're playing.
2- Fretting Hand Muting :
a) Rest your fingers slightly on the strings below the ones you're playing to mute them.
b) With the finger you're fretting with , slightly touch the string above it to mute it.
c) Use your thumb for muting.
d) If you're not using the index for fretting , lay it on all the strings to mute them.
These are just few methods for muting , use or combine any of them with your bending and the noise will be gone.