Norse/Scandinavian material culture really isn't all that distinct from Anglo-Saxon material culture, with most variation due to designs on objects rather than on objects themselves. In Danelaw England, the Anglo-Scandinavians copied Anglo-Saxon material culture extensively, but added their own "Borre" engraving designs to metalwork. Some of these designs were later adopted by the English.

I mention all this because finds.org.uk is the online database of the Portable Antiquities Scheme run by the British Museum, which has a massive catalogue of artefacts usually found by metal detectorists and amateurs which provide a really great picture of elements of everyday material culture in England throughout history, and this can tangentially also show Scandinavian items. We can also get a picture through the excavation of settlements and graves.

Personal decoration was quite popular - rings for women, brooches to fasten cloaks or simply look pretty, decorated strap-ends and clasps on belts, bags and pouches. Cheap metalwork was often embossed or engraved to look as expensive as possible. Combs were popular, and often made out of carved ivory or bone. Many were engraved with patterns and symbols and some are quite beautiful. Anglo-Saxon men carried a long knife called a seax, Norse men likely also carried knives. Women often owned spindle whorls for making thread, and depending on their status could also own looms for weaving it. Tools such as axes, scythes were everyday equipment, but larger agricultural equipment such as plows were often owned communally by villagers or their local lord. Ceramics are popular - plates, bowls and jugs in particular - and come into widespread use in the Danelaw areas in the tenth century as English fashions follow English conquests.

Some reading:

Williams, 2003, Material culture as memory: combs and cremation in early medieval Britain

Casella and Fowler, 2005, The archaeology of plural and changing identities: beyond identification

Gilchrist, 1997, Gender and material culture: the archaeology of religious women

Hamerow, 2004, Early medieval settlements: the archaeology of rural communities in Northwest Europe, 400-900