Forge anneal is simple. Heat up, cool slow. Heat to near critical preferably, stick into a can of wood ash or vermiculite. For a katana, a large heated plate or bar with lots of residual heat should be nested alongside the blade to slow the cooling.
Making a large slightly curved blade straight can be difficult, many smiths use very precise, counted, symmetrical hammer work. Every single heat I end by straightening, every time. Trying to straighten at the end, to me, is the primary reason for breakage, cracks, and a return to the initial crooked shape.
Boards with a notch like a wrench can be used to take out twist. Sacrificial beater stick can be used immediately after quench during brief plastic stage. Tempering can be done with the blade braced against bending, or for existing bend tweak a little past, then brace and temper. After tempering cold forging the blade on a concave stump with wooden mallet may work, traditional technique. On a large blade grind removal can also effect symmetry, the blade should be planished and smooth at the forging stage, no lumps, this will create uneven stresses in the steel after quench, when you grind, it will warp. Good luck