Those who come here seek companions and a home.
When hunting for Chocographs some treasures transport Choco to the Chocobo's Dream World, a dreamy world where he receives new abilities: to cross reefs, mountains, oceans, and finally, the ability to fly. The Fat Chocobo, flanked by a quartet of chocobos of all colors, seems to grant these abilities. Apparently Choco seeks a home and companionship and the abilities given to him will help him find his home; this seems to be a reference to Chocobo's Paradise, which requires Choco's flight ability to reach.
The dream world can only be accessed by riding Choco and finding one of four special Chocographs, which emit a special gas when discovered. Zidane will fall asleep and Choco will be transported to the dream world. The following Chocographs grant access to the dream world: Healing Shore, Dawn Lagoon, Green Plains, and Mist Ocean.
食う / くう / kuu is a rough way to say "eat", whose volitional casual form is 食え / くえ / kue ("let's scoff 'em down!"), leading to Kweh!
Dream world is a commonly used plot device in fictional works, most notably in science fiction and fantasy fiction. The use of a dream world creates a situation whereby a character (or group of characters) is placed in a marvelous and unpredictable environment and must overcome several personal problems to leave it.