Coat of arms rings have been around for centuries. All of the noble families had their own symbol or crest that depicted their values, traditions, and histories. They hired craftsmen to create rings that had these symbols engraved at the top surface.
Some of the common themes include animals, weapons, flowers, people, and heavenly bodies. The rings are made from precious metals to underscore their value and the importance of the family in their society. Many are alloys of gold, silver, and platinum.
Over time, the practice was adopted even by those who were not of the nobility but had gained prominence through their businesses, military victories, artworks, public service, and so on. These days, anyone can design these rings for their own use.
So think about the virtues that best describe your family. Consider symbols what would fit you best. Talk to an expert to get these made just as you imagined.