So when we talk about the Vikings, there are few primary sources, and unfortunately since Viking warriors were rarely buried with their armor, very little is known about what Viking warriors wore into battle. The one grave that has produced examples of Viking headgear/armor was in disrepair, however the soldier did have a mail shirt and iron helmet.

Once we get into the topic of shields and weaponry, however, there is much more evidence as to what was being used. Ibn Fadlan, an Islamic scholar, wrote that the Vikings he encountered on the Volga River used swords, although this was 922 AD.

A good sword would be highly prized by its owner. However, not every good sword came from Scandinavia. Viking blacksmiths were capable of forging quality weapons, but there was a not-insignificant amount of sword blades imported from the Frankish Empire.

Axes were used pretty heavily towards the beginning of the Viking Age, but as it progressed, the wealthy (who were much more likely to be participating in raids) switched to spears, swords and bows.

Viking Shields are often thought of as the most distinctive part of the Viking army, with large brilliantly colored shields allowing the identification of a Viking army from a long distance away.

(This isn't hugely important imo, but the earliest recorded raid, the Lindesfarne Raid, occured in 793 AD and there is virtually no evidence that Scandinavians raided or attacked mainland Europe before that point)

Sources:

Roesdahl, Else, The Vikings, trans. Margeson, Susan M., Williams, Kirsten, UK: Penguin Random House, 2016 150-151

trans. Cook, Albert S, Ibn Fablan's account of Scandinavian Merchants on the Volga in 922, Journal of English and Germanic Philology 22 (1923) 59-63