I think you should everything to teach your kids how to handle the responsibility of taking care of themselves in life. One of my children's earliest chores was to throw their own diapers away. That's right. As soon as they were old enough to hold their diaper, I would place it in their hands after changing them and carry them over to the garbage to toss it in. Then, we would go wash our hands. This was their first lessons on washing hands after using the bathroom.
Their responsibilities grew from there. By the time they were in middle school, they were setting their alarms to get up in the mornings, putting themselves to bed when they were tired (rather than a set bedtime..although, quiet time comes at 9pm every night, and they must be in their rooms), laundry, cleaning, yardwork - you name it, they can do it!
I think that giving them personal responsibility is the BEST way to do everything for them!