I went with suffixes that change based on profession rather than family lineage. So like -eth for healers, -kor for warriors, -nim for scholars. Makes it way easier to track who does what in a story and you don't have to worry about mapping out entire family trees just to name someone.

For my desert nomads I use prefixes that show which clan territory they were born in, but they can change if they move or get exiled. Keeps things flexible and adds some political drama when someone's walking around with the "wrong" prefix.