Short answers, pulled from the story.
Archaeologists link the early Vandals to the Przeworsk culture found in what is now Poland. This association suggests that the Vandals lived between the Oder and Vistula rivers during the second century AD.
Genseric led the Vandals across to Africa in 429 at the request of Bonifacius, the military ruler of the region. They advanced eastward along the coast and confronted Bonifacius on the Numidian border during May or June 430.
On the 19th of October 439, the Vandals captured Carthage without a fight while most inhabitants attended races at the hippodrome. Genseric styled himself King of the Vandals and Alans to denote the inclusion of northern African tribes into his alliance.
A letter from Empress Licinia Eudoxia begging Genseric's son to rescue her led the Vandals to take Rome on the 2nd of June 455. The Vandals departed with countless valuables including Empress Eudocia who was taken to North Africa along with her daughter Placidia.
In 534, Gelimer surrendered to the Byzantine conqueror marking the end of the Vandal kingdom after battles at Ad Decimum and Tricamarum. Many Vandals integrated with Berbers in Saldae while others entered imperial service or fled to Gothic kingdoms.