Old saying is the short phrase to express the lesson and satire, which have been used since a long time ago. For your conversation and speech, the phrase is useful to stress the effect of expression. Here are some of them.
「蝶よ 花よと 育てる」
To bring up one’s daughter with tender care and affection.
Bread is better than the songs of birds.
「人間 至る所 青山あり」
Fortune awaits you everywhere.
「良薬は 口に 苦し」
A good medicine tastes bitter. Good advice is hard to swallow.
「渡る 世間に 鬼は いない」
Not everyone is cold-hearted, but there is kindness to be found everywhere.