Degus are extremely active and need a large, multi-level wire mesh cage with a solid base or a large gerbilarium. Avoid plastic or wood as these can be chewed. Keep them indoors somewhere cool away from direct sunlight and draughts. They will also need a dust bath, use good quality chinchilla sand.
Degus are social animals and should not be kept on their own. Choose a single-sex pair or group that have already become friends.