You don't get rid of your attachments all at once like emptying a wastebasket.
If you take the idea seriously it is supposed to require a multi-step, perhaps long, not necessarily easy, program of mental/meditative/spiritual discipline. I cannot speak from experience but the usual claim is that at some point one ceases to be attached to detachment.
There are lots of people and groups selling such programs. They come in all sizes and flavors. Inquire at your local zen monastery, ISCON center, ashram, etc.