I was going to suggest an EH Big Muff Pi Nano. I have one and they have a great sound. They were only £60 a couple of years ago, but the Aus price seems to be significantly higher than exchange rates would allow for, and are currently in the AUD$160-$170 region.
No experience with Mooer or Moen or similar cheap fuzz units. Cheapest fuzz I could find is the TC Electronic Honey Pot fuzz. Don't be fooled by the TC name, this is a repackaged Behringer pedal in a sturdier housing, as both Behringer and TC are now part of the Music Group umbrella.
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