make one's way 艰难前行；跋涉e.g.They were making their way for their destination, through the jungle.get one's way.执意地按自己的方式行事；不达到目的不罢休e.g.Two-year-olds often scream until they get their way.
个人感觉差别不大，侧重的动作不同吧。
