Our wrists are a complex joint made up of 10 bones, as well as numerous ligaments, tendons and muscles. Combine this with its ability to move on a multitude of planes - flexion and extension, adduction and abduction, and it can easily become sore or weak. The wrist is a vital link between the forearm and hand, and if weak we tend to compensate through our shoulders and elbows, which can cause issues in those areas. One of the first things you can do when doing any wrist work, such and press ups and straight arm planks, is to splay your fingers apart so the force is spread across the whole hand rather than just the wrist.
However to reduce pain permanently in the wrists during press ups etc, you need to improve mobility and flexibility through the wrists. No kit is needed and make sure you only work in your comfort zone - so a slight stretch, NOT pain. My wrist exercise video can be found our my youtube channel, but here is the link to it.