Does anyone know how to remove your name from internet searches?

Seriously, with GREAT difficulty.
The only way to make sure your name doesn't appear on the net is NOT to go online at all..

You'd still find your information online regardless if you go online or not. Lots of public information out there on the web unless you happen to be a former law enforcement (for example).

Using your real name (if that is it) for this web site's screen name doesn't help with anonymity.