Wow, I wish I still lived at home so I could consult the world about a summer job. Instead there's a mortgage to be paid. Bummer having to grow up and pay the dang bills!
I waited tables at 15, the parents signed for me and drove me to and from work. I paid for part of the gas, the rest went to the college fund. Still had a lot of chores I was expected to do. But... I met some very nice people, and they always had an odd job or two for me! House cleaning was a big one, I did it once a week and made sure I did a super job. One year I met some of the horse people, and ended up riding an exercise pony at the local polo club. That was the best, though mucking stalls is still not on my list of favorite things to do.
Instead of working independently and spending money on equipment, what about working for someone else? Would your parents sign to give permission? There's so much to learn from someone who's been in business for years. It will be invaluable experience for when you have your own business, and the taxes will be taken care of for you.
Give it some thought and good luck!