Taekwondo training doesn’t entail buying weapons or armour like some martial arts. Indeed, part of the point is that you are always ready with the sills you possess. Yet there is still some basic equipment that is useful for Taekwondo Training.
The training centre should be well stocked with these. They are made of high density foam, usually about an inch thick. Larger surfaces may have the mats fitting together is a jigsaw pattern.
The better mats have a vinyl seal on them. This is an advantage as it is far easier to turn your foot on this surface.
We don’t want to actually inflict pain on other people any more than we want to be receiving end when they do the inflicting. But we do want to practice our kicking, and condition out shins and feet well. A Kick bag is idea for this.
A kick bag should be heavy and tall. You need the weight to absorb the energy of the kick, and tall so you can hit it high and low.
Energy is one thing, accuracy is another. We train to hit the target, and hit it hard. Paddles provide the smaller target for us to practice the accuracy or our kicks.
For sparring. The name describes the function. It should include shoulder pads. Find something WTF approved
This is mainly for actual competition rather than training, but if you intend to compete it help to be used to wearing the helmet.