"Give me a big hand"可不是"给我一只大手"

give sb a big hand 为某人热烈地鼓掌

When I got on the stage, ↗ the audience↗ gave me a big hand, making me less nervous. ↘

当我站上舞台，观众给我热烈鼓掌，让我不那么紧张了。

think big 胸怀大志

If you think big, you make plans on a large scale, often using a lot of time, effort, or money.

You shouldn't settle for a lousy office job / you don't really like—try to think big about your future! ↘

你不应该就这么将就，做着你不喜欢的糟糕的办公室工作—大胆想想你的未来！

have big ideas/plans有雄心大志

to have impressive plans for the future

•I’ve got big plans↗/ for this company. ↘ I want to open 10 new branches / next year. ↘

我对这个公司有宏大的计划。我明年要开10家分公司。