I could write volumes on this subject.
I could give you obvious advice about how you should be aware of the contracts you have signed and duties you owe to your employer. And I would like to advise you to leave on good terms. Know that IT may read all of your emails and see if you took any sensitive documents before you left. And then I would tell you to be careful before planning a new business, or joining the competition.
Because YES you can be sued without a non-compete. You can be sued without any written agreement. Your new boss CAN fire you when suit is filed. And you may be stuck in Court, with no job, and attorneys fees..
So please – before you Quit your Job in Virginia, call an attorney and determine whether your plans, actions, etc., are legal, or whether or not your seemingly harmless plans will lead you to the Court house steps.