Usage patterns
〈人〉が商店を経営するfor someone to run a shop
He runs a small shop near the station.
商店を開くto open a shop
My grandfather opened a shop in this town.
商店を継ぐto take over/inherit a family shop
The son ended up taking over his father's shop.
商店に勤めるto work at a shop
She works at a shop in the neighborhood.