i found that palm muting works the best because then you can use your index finger for other notes. its also easier to keep consistant. Thats jusy what i found.
I actually struggle with this, but only when I'm playing on my classical guitar. Don't really have the option to palm mute since I play with my fingers and resting my palm on the strings isn't an option.
A good thing will be to apply the thumb muting technique to have the lower string muted and not make any noise. This will be very beneficial especially when doing bends and vibrato.