It is a very interesting question you are asking. If I have to give a cold response and answer your question straight to the point, I would say I think you are mixing your personal life and professional life. If you think the opportunity is really great, then you have to manage your personal situation and your personal setup should not impact the organisation. Because in a scenario if you have external investors, they would expect you to give 100% and your if are not performing 100%, you end up losing out too.
Bottomline is you have to be very excited and motivated about the opportunity and you have to be all in because the journey is hard and it is harder when you take someone's capital to work on the startup.