I don't want to put you to a lot of trouble.
我不想给你添很多的麻烦。
I don't want to depend too much on my parents.
我不想过度依靠父母。
This isn't very important ─ I don't want to make an issue of it.
这不太重要——我不想把它当回事儿。
I don't want to put you to any bother.
我不想给你添乱子。
I don't want to trouble the doctor with such a small problem.
我不想为了这个小毛病麻烦医生。