As a male you have two testes, which are also called gonads. During the breeding season your testes will more than double in size. Each one has a small projection called the epididymis from which springs the vas deferens, a tiny convoluted duct which widens into a seminal vesicle as it approaches the cloaca. The vas deferens will transmit your spermatoza. You have no penis.
Female birds have a somewhat similar cloaca.
When the time comes for you to copulate with a female your spermatozoa will be passed to her through the rubbing together of the cloacae. The meeting will be brief but repeated often. A word about your senses. You have an olfactory organ which enables you to smell, and you have very efficient organs of hearing, although you don't have any external ears. The feathers covering the ear opening are called auriculars.