在英语中，可以使用以下表达来表示让家人幸福的意思：

"Make your family happy"：使你的家人幸福
"Bring joy to your family"：给你的家人带来快乐
"Bring happiness to your loved ones"：给你的亲人带来幸福

这些表达来源于英语中常用的动词和名词。"Make" 是一个常用的动词，意思是"使"，"happy"是一个形容词，意思是"快乐的"。"Bring" 是一个常用的动词，意思是"带来"，"joy" 是一个名词，意思是"快乐"，"happiness" 是一个名词，意思是"幸福"。

下面是一些例句：

I want to make my family happy by buying them nice gifts. 我想通过买好礼物使我的家人快乐。
She brings joy to her family by always being there for them. 她总是陪在家人身边，给他们带来快乐。
He tries his best to bring happiness to his loved ones by spending quapty time with them. 他尽力通过与他的亲人共度美好时光来带给他们幸福。