飼う【かう】
to keep (a pet or other animal), to have, to own, to raise, to rear, to feed
飼い主【かいぬし】
(pet) owner, keeper
飼育【しいく】
breeding, raising, rearing
飼い犬【かいいぬ】
pet dog
飼料【しりょう】
fodder, feed
飼い猫【かいねこ】
pet cat
子飼い【こがい】
rearing from infancy, training from an early age (e.g. an apprentice), teaching from an early stage (e.g. a subordinate)