As you play through the game, you will obtain various Dream Orbs, found within clouds. These orbs are essentially a currency and can be used in exchange for powering up your capture device. These powerups all run on a scale and so require you to plan ahead if you wish to capture more Pokémon. The powerups are as follows

In addition to that, there are also three powerups you can use. These are all consumable so the price doesn't increase, but they can be used by tapping the touch-screen when against a Pokémon/item