What's the best way to tell my boss I'm going to quit?

So, I mainly get along with my boss. However, about three months ago she made a decision regarding an opportunity I’d been working on for a year that basically cut me out of the picture, after we had had many discussions about my role and compensation. A few weeks ago, someone who used to work for my company and is now the sales manager for a company in a totally different industry called me out of the blue. I interviewed with the decision makers at this new company last week and today they offered me a job.

This is a smart move for me, career-wise and financially. However, I know that leaving my current company will probably cause some real short-term difficulty. And I don’t want it to seem that I’m being petty about this personal thing between my boss and I.

Any advice on how to handle this?