What would people have worn during this period (particularly in north western europe) and what would it have been made of?
What did people wear to survive the very cold winters?
How would clothing have varied depending on wealth or social standing?
For more detail, I'd recommend Gale Owen-Crocker's Medieval Clothing and Textiles as well as Gabor Thomas' work on strap-ends, but in 10th Century England at least, clothing was mostly variations on a theme of wool.
Male fashion largely consisted on variations on a long tunic. In the summer this could be worn bare-legged, and with trousers in the winter. This would have been probably tied at the waist with a belt. Buckled belts become less common after the C7th, so by the 10th Century it's likely to have been a girdle belt, simply knotted. The ends of this belt may have been adorned by decorated metal ends. If you were wealthy or powerful, they might have been richly engraved and inlaid, and otherwise they're likely to have been cheaper, plainer imitations. More high-status men would likely wear a mantle over this, a kind of cloak-poncho hybrid that would have covered the shoulders. This would probably have been secured with a brooch, the more ostentatious the better. At his waist, an Anglo-Saxon man may have worn a seaxe, a ceremonial weapon that's essentially a large kitchen knife. From archaeological finds, it was apparently common, at least for the wealthy, to have an ornate, decorative seaxe worn for ceremonial purposes, and at least one plain, everyday one for more prosaic uses like hunting.
Women would have worn a kirtle, like a long under-dress, over which they would have worn a gunna, or over-dress. Just like today, women's clothing seems to have been all about layers. The gunna would have been tied at the waist with girdle belts like the men's, and again a mantle would have been likely worn over the top, fastened by brooches and pins. Again, wealth would have been shown by the quality of the cut and the embroidery, as well as the level of ornamentation of the pins, brooches and strap ends. This may have been full length and would probably have covered the hair, being held in place by a headrail, with the level of embroidery and detailing again dependent on the status and wealth of the wearer.