When you push, you use force to make something move, usually by giving it a shove. You might push a cafe door open or push someone around to get your way. Bully!
There's a physical way to push, and then there's a figurative way, when you make an extra effort: "If I push myself, I can finish this marathon." You can push other people too: "My parents push me to get good grades." The act of pushing is also a push: "Will you give me a push on the tire swing?" If you push someone around, you intimidate or control them.