Do I need to have my stock vest if I am a solo founder?

I want to incorporate my company as a Deleware C-corp. I am a solo founder, at the moment.

Will investors want me to be on a vesting schedule even though I am a solo founder? If so what would the appropriate vesting schedule look like in my case? I have already been working on the idea for almost a year...

Lastly, if I decided to have all my equity vest on day one. Eventually down the line if I get investment can I retroactively take equity away from my self and then set up a vesting schedule to satisfy an investor?

Thanks in advance everyone !