way是一个比较普通的词，可以指一般的方法，有时也指个人的方法或方式或者是特殊的方式或方法。

eg.you should do it in this way.

means是指为了达到某种目的或目标而采用的方法、手段或途径。

eg. he took such a transportation means to go there is just to tell others that he is very tough.

manner，通常用来指行动的特殊方式或独特的方法。

eg.it is not a good manner to behave like this.

method，是指有系统、有条理地办事或解决问题的方法。

eg.the method we are going to take to solve these environmental problems is to raise our people's environmental protection awareness as well as to punish those who pollutes the environment.