Ultimately the decision is yours.
I'm a pretty firm believer in people standing on their own two feet. I think a sober living house or something like that would be better than asking your folks to be sober cops.
But, it's your life...you need to assess yourself honestly and decide which option would be better for your recovery.
I think you have an even bigger question tho - no matter which option you choose, have you thought about how you'll stay clean and sober?
D