There are ways of covering your tracks a little.  You could sent coins through services like online shared wallets or gambling sites which are basically big shared wallets.  Ideally, you would split up your coins through many different services.  The only problem is that some of these services may require a user account, but few need to actually ID you, just make sure you are using a public internet connection (like at libraries or coffee shops) to access the sites.  So my point is that if you really, really wanted to cover your tracks, you could, it just takes forethought and some work.