Bedbugs are easily killed with heat, and fortunately high heat is not required. 45C or 113F is sufficient to kill all stages of bedbug life if heated for an hour.
Depending on the amount of lumber, size of the room, how its stacked, and how well insulated the room is, heating can take a long time. I'd suggest one or more high output heaters. If you can place a probe in or near the middle of the stack you can tell when the wood has reached sufficient temperature. If you add fans to create a convection current the process may go more quickly. Heating the room to well above 45C will heat the wood interior to 45C more quickly, but you'll have to balance that against possible damage to the wood and finish.
Make sure the room is sealed. A wood drying kiln might not be appropriate if it uses a lot of unfiltered ventilation - and most do, since the primary objective is to remove moisture. Further, some kilns don't attain the heat needed, instead relying on high volume and/or high velocity air to extract moisture from wood. Be aware that bedbugs can go dormant. When food becomes unavailable, adults can live many months or longer without feeding. Air drying or low temperature kilns will not eliminate bedbugs, and depending on how they are ventilated may, in fact, spread the infestation.
The bedbug infestation suggests that the wood is already dried and possibly finished, having been in close contact with humans for some period of time. This temperature shouldn't cause problems, but be aware that it will dry out more depending on the length of time required to bring all pieces of wood up to the uniform 45C temperature.
I wouldn't try chemicals or poisoning. Crevices, nooks, and spaces inside the wood may prevent the method from being 100% successful, and it only takes a few bedbug eggs to restart an infestation.
In the meantime, make sure you thoroughly launder your clothing as you come into contact with the wood prior to disinfecting it, and taking good hot showers. Bedbugs are something you shouldn't let propagate if at all possible.