You'd better run it by me. 你最好先和我说说。

　　Just run it by Jimmy and tell me what he thinks. 先和吉米商量商量，告诉我他是怎么想的。

　　Great! You want to run it by me? 很好！你要和我说说？

　　This is the plan that I created.  这是我想出的计划。

　　Run it by my boss and see what he thinks.  跟我老板商量商量，看看他的想法。