Looking for business ownership/startup ideas or advice, please?

I want to be a business owner. I don't have any business in mind, in particular. I have a science, math, sales background. I would like something I can do at home or part time to begin - I have small children and a wife at home. I think franchises usually want too much up front (for good reason) and this might preclude me. I DON'T want retail. I know SCORE is a good resource for ideas and advice... Is there any further guidance someone might offer me?