Muting is something that can help, but in all honesty, it will serve you better to get the chords and moving them around to sound clean without having to resort to muting all the time.
You have come on leaps and bounds very quickly Si, so do not misunderstand what I am saying. At this stage of your playing life, you'll get all manner of strange noises, some are good, some are not so good. It is all a matter of experimentation. Don't forget, when amplified, especially with some Dirt, everything becomes that bit more sensitive and it is all part of the game of learning electric playing styles.
I started out as purely an acoustic player as Ragtime and Blues was my goal. Once I had become reasonably proficient at that, the switch to electric was a complete nightmare for me as suddenly there were all these noises which I had never heard before when playing an acoustic LOL.
Stick with it, you'll soon develop a clean chord changing style. Muting however WILL become a very important part of your technique bearing in mind your choice of material.