I am indeed sad to hear that you feel this way about your parents. It is not clear from your question why feel this way about your parents, nor do you describe the circumstances that led to the breakdown of communication between you and your parents. You also did not give any clue as to your age.
If you are not adult it is not safe for you to leave home. If you are an adult woman, also, it is not considered safe for you to leave home unless you are going to another close relative who has offered to help you out.
It is more likely that you are experiencing some sort of depression; so, I would advise you to consult your doctor. He or she may refer you to a specialist who can help you overcome the depression. Mind you depression can be extremely dangerous unless treated; there is nothing to be shy in seeking medical help; the Prophet (peace be upon him) ordered us to get medical help and take medications when we are sick; so, there is no need for you to hesitate to see your doctor and tell him or her how you feel in order to get a referral.
It is crucial for you to remember that, generally speaking, parents have the best interests of their children unless they are corrupt or ignorant. Perhaps you are reacting too strongly to their expectations or guidelines at home.
I don't think istikharah is applicable in your case. As a woman, it is not at all safe for you to leave home unless you are going to your own family members who are close to you in blood and they have offered to help you. To leave home without such guarantees would constitute a fundamental violation of the Islamic principle; so you must never even consider it.
In conclusion, I would urge you to see your physician immediately and ask him or her to refer you to a specialist who can provide the necessary counseling. This is the most appropriate course of action to take; so never hesitate to do it.
You should also never fail to turn to Allah for help through dhikr and du'a. For further details on this, you may consult the following answer.