Wholebean: Wholebean coffee allows you to grind your own coffee right before brewing, to keep the freshness. Some coffee machines have a grinder built-in, or you can buy one separately.
Cafetiere: French Press or Cafetiere coffee uses a coarse grind. Grounds are separated from the coffee and there is no filter involved, so the oils from the coffee remain.
Filter: Filter coffee grind is medium, like sea salt, and is made by pushing high-pressure water through fine coffee grounds, where the brew drips through a filter.
Aeropress: Aeropress coffee uses a fine grind, and creates a single serving of coffee that drips through a filter to separate the coffee from the grounds.
Espresso: Espresso coffee uses a fine, powdery grind. It has a lower ground to water ratio, and is usually thicker and more intense.