Compare hindu and buddhist beliefs about reincarnation and how one should live.

Hindus believe in polytheism, it is a worship of many gods. It is considered wrong when god and his deities are ignored and when we live a life in which we only benefit ourselves and are greedy, and do other negative actions then consequences of those actions would have to be faced. In Hinduism the soul can get reincarnated a lot of times, in which the soul would get a new body each time, the only way to break the chain of reincarnation is to attain perfection and become one with the divine creator.

In buddhism, there is not such a great relationship with a creator. 
The founder of the religion was Siddhartha Gautama who was a prince, and then put himself under a process of understanding the true nature of things and self-relization. He sat under the bodhi tree and began meditation for some time and became the enlightened one (Buddha). The ultimate goal for any buddhist is to be enlightend and achieve a state of mind that can overcome the pain of our struggles (such as death etc.). When buddhists pass away they believe that their actions determine which of the 6 realms they will be born in