Oh hey Nonnie!
The families of the Dwarves are:
Western Dwarves
Longbeards (our main posse, descended from the eldest of the Original Dwarves, Durin, who was bound in sleep and then woke up at Mt Gundabad)
Broadbeams (woke in the Blue Mountains.)
Firebeards (Blue Mountains too. The cities of the Firebeards and Broadbeams were lost when Beleriand was tipped into the ocean during the War of Wrath. They were called Nogrod and Belegost. The range of Ered Luin broke in two and half of it was sunk, and so the remnants of both the Firebeards and Broadbeams fled to Khazad-dum and became a part of the Longbeard population.)
Eastern Dwarves
Blacklocks
Stiffbeards
Ironfists
Stonefoots
(Each of these clans is descended from one of Mahal’s original seven dwarves. The progenitors of the Eastern clans woke in the Orocarni or Red Mountains, far to the East in Rhun.)
I cannot stop myself from giving more information than necessary, can I 😉