The Hulk "Family" includes:

Bruce Banner - Hulk
Jennifer Walters, cousin - She-Hulk
Skaar, son (from another planet) (mother is Caiera the Oldstrong) - Skaar, son of Hulk
Lyra, daughter (from alternate future) (mother is Thundra) - also goes by She-Hulk
General Thunderbolt Ross, father-in-law - Red Hulk
Betty Ross (Banner), wife - Red She-Hulk
Rick Jones, friend - A-Bomb

There's also another dude named Hiro-Kala that's in a series called Son of Hulk, but he likely won't be appearing as part of the family because his story takes place separately on another world.