This is what my father has taught me—to always face difficulties and hope for the best.

这就是我父亲教给我的——面对困难时要期待最好的一面。

Keep one's fingers crossed, hope for the best, that nothing will happen to upset one's plans, etc.

喻求神保佑一切顺利，希望不要有意外事情妨碍计划等。

We all hope for the best results.

我们都期望取得最好的结果。

She could only hope for the best.

她只希望是最好的答复。

Hope for the best — but plan for the worst.

满怀希望，但要对最坏的情况有所准备。