got somebody's hand/hands hurt.（某人的）手受伤了

the sentence of means :someone 's hand have been hurt by something ,and then he could't work with no income（he can be work by him hand） . but he has a family need to money for the live. so he did not know what he can be.某人的手受伤了 ，也就没了工作没了收入(他靠手来工作赚钱)。他有孩子有家庭需要钱来生活，所以他不知道怎么办。

整到 is cantonese mate... use 弄伤 will sound better when you speak mandarin.

It has many possible meanings. Here it means probably that something happened to the hand. 整 is usually used in the spoken chinese in the daily life. For example, you can say 我被他给整了, which means, I was fooled by him or I was beaten by him.

It sounds like nonsense. You'd better give its context.