Even under the best of circumstances, it's hard on both the parents and on the grown child when they reach that fork in the road where the child leaves the nest. Personal growth is almost always painful but in the end it can't be avoided. If you lay out a sensible plan before them and assure them that you have every intention of handling your new found freedom with maturity, it will do much to alleviate their worries. No matter what though, you will both have to push through all the emotions that this big milestone brings. You'll need to handle any objections or criticisms they may have about your plan, maturely and consider what they have to say with an open mind.
Like so many things in life, there is no right or wrong answer to this situation. Whichever route you choose to take and whatever the outcome, that will become part of the story of your life....the one you'll have to tell.
This song came mind as I read your post.