By wet I mean wetted and wrung out (well, as best you can with a flimsy material!). That helps to form the Kleenex into the corners and recesses. The dampness doesn't affect acrylics at all, as long as you leave it in place while the paint dries. Of course that means the Kleenex dries as well, and that can make it difficult to remove from convoluted areas. The re-wetting allows the Kleenex to become flexible enough to remove without damaging anything, and won't bother the dried paint at all.
I use this method mostly for cockpits now, and prefer the second method for most wheel wells.
Parafilm is sold by laboratory supply merchants, and they have an Australian contact. It's a plastic film with a wax like substance to allow it to hold and seal. It's not cheap, but it is worth the money! Glad Press'n Seal is a similar household product, but doesn't work quite as well. Its saving grace is the availability and low price. I couldn’t find a like product on Glad.com.au website, so you might be out of luck.
You could easily use Tamiya or similar tape (I have yet to find a tape as good as Tamiya, though). As MikeV said, burnish it down well to prevent the paint from bleeding under.