Had two sons. We continue to follow this trail of Moses and his two sons. Moses himself is said to have spent the rest of his life celibate. On a parallel track, we learn that a related group of Kenites become attached to the Israelite community. And out of this group we learn that some of the sons and some of the daughters marry into the Aaronic priesthood, by marrying the daughters and sons of the high priests.
More research is needed here.
We also learn that the Rechabites, in three groups, become scribal families for the Israelites. By this time, based on the book of Chronicles, these Rechabites have become linked to the tribe of Judah. Thus, by intermarriage and descent, they are Israelite and Judah-ite. And we also learn in the books of Chronicles that various temple and levite functions seem to fall into specific clans, including the one traceable son of Moses, and these Rechabites. But it does look like the levites of Moses are provided a living as part of the Levite class, rather than as the higher priestly class.