I don't think that you really thought this through thoroughly. (what a sentence!)
On a serious note tho, it would mean that you always have to carry around batteries on you, enough for at least while you're awake, as well as storage devices which you'll want to backup, or at least have in a raid-system. All in all, it's firstly going to be very expensive.
Second, you will have to figure out a smart way to integrate a camera into your life. A simple solution could be to just strap a gopro to your head. This will be clunky, uncomfortable and not too pretty though. I believe the best option for you is to try and conceal the camera in some way, like buying glasses that have a camera in the frame or something alike.
Next, there's legality. As you already assumed, there are places and things that you are not permitted to film. There's also different laws in different states, countries and continents. If you go to europe, you (theoretically) would have to ask any person for a permit if that person is filmed in a way that he/she/it is distinguishable and doesn't get lost in a crowd. That will be a lot of work. Even in America, you will run into places and people you are not permitted to film more frequently than you might think. And: You will have to keep every document of permits you ever got, since you need the evidence in case someone asks you to show it.
And last storage. What you would want is probably a RAID-System, since it's way safer for your files which I assume will be very important to you. So, buying RAID-Servers with HDDs or SSDs for, say, 800-900tb? You usually run at about 100$ / TB with SSDs, which you'll probably need in order to write the video data fast. So the drives alone, excluding the RAID and server-systems at all, you'll run at about 100.000$ alone. That is not cheap.
Nonetheless, I am impressed with your ambition and hope you pull through, just know that it won't be a walk in the park.