*Sign up for a bank account. Most banks offer a checking and savings account together, in one convenient package. Some companies, institutions, and organizations will require you to have at least a checking account (some only pay employees via direct deposit electronically, not by a pay check). Money you earn that isn't necessary for your own expenses should be put into a savings account until you're ready to be independent.
*Save money; pay yourself. Save as much as is reasonably possible. This will help you create an emergency fund, since life can be unpredictable at times. Improve the quality of your life by putting aside a set amount of money each month. There are such things as accidents, which can occur when you least expect it.
*Dump the bad influences in your life. Don't break friendships unless absolutely necessary. Learn to keep a healthy distance. Even if those friends are "totally cool," they may only hold you back from breaking out on your own. Also, if you feel that your friends will hold you back in life, move on.
Make some better/smarter friends (while loving your old friends), rise up by education from your parents' socio-economic status. You may decide to move to another city or state to find opportunities. Feelings of homesickness are only temporary, but making progress (which defines success) may last a life time.
*Rent your own place. Nothing says independent like having your dwelling even if it is just a room at or near your work or college. It may be difficult, but keep working so you can have your own place. This will encourage you to hoist yourself out of the life depending on parents, as a routine in which you are stuck.
*Be determined. Never doubt that you can make progress, even if there are setbacks -- advance again. Consider that progress toward your goals is how to measure your kind of success. Discover your interests and direction in life, then define your goals to get there. The person who can stop you from doing things that move toward your own goals is yourself.
*Stay in school or get training in a good trade or improve abilities and skills. Learn a trade -- to begin a real career (not just for money, or you may get stuck in a dead-end line of work). If you drop out of high school, your job and/or career options will be severely limited. Give college a chance; even one year of college. Earn a degree or a trade school diploma by suspending some activities that pull you down into a trap/rut.
*And for older people, try to do more things on your own like getting out more without your partner, create your own space.