Suppose I were a warrior in a Saxon warlord's retinue. How did I achieve my position? What was my life like? My social status? Was I wealthy? Will my children likely be warriors of similar status? Am I virtually guaranteed to be male, or did women achieve high martial status as well? Did it make a difference if I was a continental Saxon vs. a British Saxon?
So we don't have a lot of sources about the everyday life of Angles or Saxons, largely because most writers at the time didn't deem such things worthy of recording, but we can piece together a relatively good picture from archaeological and circumstantial literary evidence.
In the fifth and sixth centuries, Anglo-Saxon society in England is quite limited politically, with dozens of small kingdoms, and remains this way until the arrival of the Augustinian mission in 596 which catalyses the bureaucratic expansion of petty kingdoms into what we might recognise as states. What this means is that society is essentially quite 'tribal' in its organisation, with a rigid and militaristic heirarchy based heavily on personal loyalty. As we can see from the Laws of Æthelberht of Kent, codified shortly after 596, Saxon society in this time was quite heirarchical, with clearly defined social strata, such as eorls, ceorls, 'semi-free', and slaves. At this time of limited polities, ranks of decentralised land-holding nobility such as thegns and ealdormen which are so prevalent in the later Anglo-Saxon period have really yet to emerge, and indeed most polities this early are based around only one or two major settlements and outlying hinterlands.
Ceorls were freemen, but if you were part of a king's warrior retinue, you were likely to be an eorl and thus quite high ranking in the social strata. It is likely that your father and his father would be eorls and your children would be likewise. As an eorl, you and your family were second only to the royal family and the Church in terms of the legal protection you enjoyed, and six 'tiers' above the slaves, which you would likely own.
Although it's written much later and is a heroic poem, Beowulf actually gives us a good idea of what life in a Germanic warrior elite could be like. Personal loyalty is important, and the king's hearth is at the centre of town and political life. Status was maintained not only through military service, but also by feasting and drinking with the king. Loyalty and service were rewarded with ostentatious gifts, most often in the form of rings. Days not at war could be spent training, maintaining wargear or running your personal estates, guarding the king or, most likely, hunting for game, often with the king or fellow nobles.
We can get our best idea of the type of wealth these elites enjoyed from the variety of grave goods they were buried with and the items they dropped. Status was based on display, and wealth was reflected in ostentatious fashion, jewellery and wargear, and the Anglo-Saxon penchant for very fine metalwork. Much of this can still be seen today at places like the British Museum. Both men and women wore large, finely wrought brooches, often inlaid with cut glass or precious stones. Warriors carried swords in jewelled scabbards, with gilt and inlaid hilts, which distinguished them from the ceorl or 'semi-free' warriors who would have fought predominantly with spears. Finely jewelled clasps, buckles, strap ends and pins were used to adorn rich cloaks, tunics on men and mantles on women. People were buried with swords and shields, and full sets of chainmail armour and helmets, like those found at the Sutton Hoo burial. Women might be buried with spindle whorls for making thread, jewelled pins, pendants and earrings and necklaces. Both men and women might be buried with richly decorated and engraved combs, brooches and even game pieces.
E: To further answer your question, we've yet to find any evidence of Saxon warrior women. The tenth century ruler Æthelflæd of Mercia certainly led her armies into battle against the Welsh and the Vikings, but she was the daughter of Alfred the Great and quite likely exceptional.