Bio-char is different from charcoal. Bio-char is made by burning yard waste and/or lumbermill waste in a big steep walled pit. It is set on fire and then hosed off once it is all burning good. The pit is then quickly covered with a mound of dirt and let sit for a week. When dug up, the resulting mix of dirt, charcoal, and ash is sold as bio-char. Home made bio-char is usually done by piling all your yard waste (grass clippings, branches, wood chunks, etc.) in a vertical 55-gallon drum. get it burning, and maybe build a fire around the outside. When it is burning good, shovel the wood and coals from the fire outside the barrel into the barrel, and shovel in at least a foot of dirt. Let sit for a day or more until te barrel is cool. Dump it out and mix in your flower beds ( especially good for raised beds) and bag up some for making potting soil for flower pots and such.
I keep a bag of bio-char to make soil for my potted night blooming cacti and palm plants.
Home made charcoal is done similarly, and can use the same simple barrel setup described above with OK results. A large metal plate is placed over the barrel instead of dirt.
Commercially, of for regular production at home, chunks of dry wood are placed in horizontal barrel or other closed container with a vent pipe and heated to 500-600°F from below until all the volatiles are driven off.. Such a barrel/drum/chamber is called a retort. The volatile gases (wood gas) and oils ( pine tar, etc.) are driven off and burned at the vent pipe leaving behind the carbon rich charcoal. When te gass vent stops burning a fkame, remove the heat from under the barrel, close off the vent, and let the wood convert to charcoal. It is pretty easy to do if you live rurally where the smoke and smell isn't a problem. Many home retorts are made from a couple old 55-gallon drums. 500°F gives soft charcoal and 600°F gives hard charcoal. Charcoal briquettes are made from charcoal powder that is mixed with a clay binder, compressed, then baked. Briquettes are not suitable for forging, BTW.