Not all steel is quench hardening. I do not know that HSS or High Speed Steel (common wood tools) is easily hardened by this method. Typically, the cobalt and vanadium content makes this difficult. It can be done, but only by a controlled heating between 1260-1280°C, controlling the quench (or thoroughness of the heating) and then rapidly cooling, usually in oil. The difficulty in this, is without a controlled induction unit, you end up heating the ENTIRE tool, which would make it brittle and unusable.
If you are going to do this, I would consult someone with at least some blacksmithing skills, and definitely do not use any prized or favorite tools.
TL:DR I would not get into this without EXTENSIVE research and investment in the proper equipment. But by then, you could have just bought hardened tools with a differential temper