Cleansing is a way of removing negative or unwanted energies, spirits, and imprints from an object or a space. There are many ways that you can do this. Some ways are a cleansing bath/shower, drinking a cleansing tea, visualization, smoke cleansing, burning herbs or incense, sprinkling salt or crushed up eggshells, do a cleansing ritual, etc. To cleanse an object you can bury it in salt, if it's water compatible then you can sit it in water, pass through smoke, etc.
Grounding is important for everyone to do. It can help with coping with stress, anxiety, and other related things. It really can just help with being human, and dealing with that. Grounding can help us connect with the energy of the Earth, the energy of our being. Here's a wonderful quote from *Green Witchcraft*, "Grounding is one of the most important ways for green witches to both receive and release magical energy. Grounding is a meditative practice where you create a connection with the planet using a combination of physical contact and visualization or imagination. This creates an invisible thread that allows you to bring energy up up to you from the earth and release it back into the earth afterward. Think of it like a lightning rod, helping us channel the power of electricity and neutralize it when it becomes too much to handle safely."
In magick, grounding can be used to draw life energy up from the planet — or to release leftover energy after a ritual or spell. Evening running your hands or body under cold water or walking barefoot outside you can be grounding practice.