I mean, to disconnect them from your name.

A Reddit user suggests to send your bitcoins to a Silk Road wallet, then back to another wallet/address:
http://www.reddit.com/r/Bitcoin/comments/1c8yb3/a_stepbystep_guide_to_creating_an_anonymous/c9e99nu

However I am confused: do you actually have to send them to a new wallet as well? A new address in the same wallet (such as Qt, Electrum) will not suffice?