You can use either a circular saw or regular handsaw to cut your 2 X 4 to length. Many hardware stores will cut 2 X 4’s to length for you. Inquire about this at the store. Always wear safety goggles when cutting wood. If your pan has bowed outwardly, the piece of wood can be a bit longer than the pan. If your pan had bowed inwardly, the piece of wood must sit inside the pan.
Straightened pans will warp more easily than those which were never warped. Your pans will wear out from repeated warping and straightening, and will eventually need to be replaced.
Copper pans are known to have the best heat conductivity. Cast iron pans take longer to heat up, but are very durable and unlikely to warp. Stainless steel pans can be stylish and durable, but these pans are the most likely to warp.
If you have been cooking at a very high heat, you may want to bring it down to medium, and then low, before allowing to pan to cool naturally to room temperature.