Something To Keep In Mind: Plastic buckets from the hardware store contain BFA, a substance that is generally not good for humans. I doubt much BFA would get into the honey in this process because the honey isn’t stored in the plastic. It mostly just passes through the plastic funnels and sits in the plastic bucket for less than a day. But still, stainless steel or food-grade plastic buckets are preferable. Honey meant for public consumption should not come in contact with non-food-grade plastic.
I recently crushed and strained about 6 litres of liquid honey (about 1.6 US gallons) from a medium honey super. I followed what some called the 3-bucket method (a method I stole from the Backwards Beekeepers), which I’ve demonstrated before, except I didn’t do it properly the first time. This time I did it right and it worked perfectly. The process is explained with labelled photos below. Basically you pour the crushed comb honey into a bucket with holes it, which drains into a bucket with a paint strainer on it. Then you bottle your honey.
This probably isn’t a bad method for hobbyist beekeepers with a small number of hives. Comb honey is the best, but for liquid honey, crush-and-strained in my experience tastes and feels better than extracted honey. The fact that the honey strains through the beeswax, much of flavour of the wax — which is a huge component of natural honey — isn’t lost like it would be with extracted honey.
July 25th, 2015: I also posted a video called Cutting and Bottling Honey that’s had over 4 million views even though it shows me making a few mistakes in the 3-bucket method.