How do you get into such a saturated market?The same way you get into a market saturated with college degrees.
My neighbor started doing yard work as a teenager in his neighborhood. I'm sure he was initially cheaper than the competition --- just like kids coming out of college.
He was making money for years while his college bound friends were saddling themselves with debt. With some hard work and personal initiative, he gradually moved up and now he no longer does "yard work" --- he hires others to do the work for him.