I read "The Four Steps to the Epiphany" (http://www.amazon.com/Four-Steps-Epiphany-Steven-Blank/dp/09...) this weekend, and based on that, I would rephrase it "Make something people want and will pay for".
I would focus on fixing the burnout first and then if you're serious about being an entrepreneur, do it later. If you do it now, you'll likely just stall out early on and be even more disillusioned.
Get out of burn-out by taking vacation, spending more and more quality time with your family, etc. Once you take some time away from the keyboard, your passion for coding and inspiration for new ideas will start to surface. Once you HAVE to stay up all night to work on an idea because you're so excited, then you'll know you are back.
Once you are serious about starting your business, read http://www.startupbook.net/ and http://www.amazon.com/Four-Steps-Epiphany-Steven-Blank/dp/09... to help you identify and verify good business ideas and take the first few steps, lean on HN once you have an idea to help you improve it and iterate on it.
Due to your family situation, you'll probably need to keep your job and work on your startup on the side (welcome to the club!). Once your startup is making some money you can consider switching to consulting or a part-time situation. It's crazy hard enough as it is, and basically impossible when you are demotivated and burned out.