one warning I would add to robs suggestion it "be careful with the
galvanized bucket" ganvanization burning will produce fumes which can be harmful. I would prefer you use plain steel.
also you didn't mention fuel sorce....charcoal? coal? propane? heres a few of my forges
stainless steel stock pot lined with 2" kaowool and coated with satanite. homemade propane-forced air burner:
hight temp insulating fire brick forge using a plumbers propane torch:
handcrank charcoal 'washtub forge' ala tim lively (note the galvi tub is lined with adobe to insulate it from burning:
and my fav....campfire forge using hardwood lump charcoal with a steel pipe for the tuyere (air hole) and contractor garbage bag for the bellows:
all i did here was to dig a groove in the several inches of wood ash lining a large campfire ring, and shove the steel pipe in.
so I guess you can see they can be as complex as you want or as simple and temporary as a 'hole in the ground'....thats real 'in the dirt' knife making.