To eat crow
是一个人把自己弄得很丢脸，因为他犯了一个很难堪的错误，而又不得不承认。

例句：
"Our neighbor had to eat crow yesterday. He's been telling us what a good tennis player he is. Well, he took my 12-year-old son out to play and the kid beat him three straight sets."

这个人说：“我们的邻居真是丢了脸。他老是在我们面前吹嘘，说他网球打得多么多么好。他昨天带着我那十二岁的儿子去打网球，结果我儿子以三比零把他打败了。”

Greasy spoon
是指那些有点像夫妻老婆店那样的小饭馆。

How about just going down the street to the greasy spoon and getting hamburgers?
咱们就上街那头那个小饭馆去吃汉堡包怎么样?