Wow! Good for you! It looks like you are on the right track.
I have been part of several startups and have launched and failed some myself as well and learned from the experience. I have also helped raised for startups. I won't necessarily speak to the financials, but your question got me thinking on something else I hope I can provide some clarity.

When it comes to negotiating, don't worry too much about the equity right now instead ask yourself what leverage do you have over the investor. Does the investor need this deal to work more than you do? If this investor is willing to put money in it - why not find others who have more favorable terms?
Don't ignore crucial sources of power over the negotiation and then by accident put yourself in unnecessary weak position. In fact you need to find a way to remain in control as you seek more investment.
Are you looking only for money? Why friends and family? what value will they provide to the startup if any?

Instead of dilution offer board seats, convertible notes, if you sell products consider AR funding instead of straight equity.
I hope it helps, it looks to me that you need to find yourself a good lawyer now who understands funding and startups hurdles. If you reach out I'd be more than happy to refer you to fellow entrepreneurs who deal with investments on a regular basis :)