I am in awe of your maturity - you beat me and ive got over ten years on you!
You are, however, NOT going to be able to rent a place that isnt crawling with cockroaches and has complete feckwits living around it, at 16, or 17 (although more likely)....
Private landlords just wont do it, its too much hassle for them unless you are a student. The only other places that would be available to you, are council properties and if you arent on the list and high priority you wont get those either.
Speaking as someone who moved out of home full time at 16, I can fairly safely say this is true and it is a major pain in the butt.
If you can stay at home, do so for as long as possible - save your money, pay fair rent but you will still save up.
In theory, having your own place is great (and in practice it is too).... but there are loads of hidden costs you need a fair whack to cover initially. Also you will find that even though you may be earning a decent wage, a really high wage even, if you are self employed you will struggle at your age to be taken seriously, financially.
If you could hack it, in your shoes if all is great with your family - id stay home til 21, earning and saving and building up the business.... and BUY your own place, not rent.
Thats something a friend of mine has done - had his mortgage at 20, as he really struggled to get anywhere younger than that, especially self employed.
The final bit of 'do as i say, not as i do.....' Even if you dont need it. Get a part time job.
Mentally will help you transition from 'school' to 'real world'. Looks good on paper if you ever need it (shows an employer you can BE an employee, something they like to know).
I have NEVER worked for anyone in a 'normal' job - ive done cash in hand when younger, ive done working for board and food, and im now self employed. If i HAD to go out tomorrow and get a normal real life job, my decent GCSEs, my personal business skills, my trade skills...... all completely at utterly meaningless. To an employer, i have no job history at all and i could be the smartest, best employee in the world (im not, thats why im self employed), but they will never find that out as i wouldnt even get an interview!
As a wiser person than i once said to me (and i totally ignored it).....
"Don't slam shut doors you can leave propped open for later"......
Em