[WhiliaStelt]

There are several aspects to these questions.

Firstly, blanking your mind simply makes you stop thinking, so there is nothing to hide. Effective but not useful as the question is how to have thoughts but hide them.

There are three basic says to 'read' thoughts. The hardest but more direct is to 'look' into another's mind. This is a shielding issue and beyond the scope of these questions.
The second is to intercept ESP which is hard to do. A sender can reduce this leakage greatly through intent. Send your thoughts only when necessary and try to direct them to specific people.

The third and most common is to pick up on thoughts broadcast via energy. The most common (and unconscious) form of this is through emotion. Detaching emotion from thinking is the obvious solution. The only way I know to do this it through meditation. One can also reduce this form of broadcasting by inverting various shielding techniques. Note that depending on what type shield you choose, it may affect other energy things.

A related approach is to blend into the environment.
See topics on 'Invisible' http://forums.astraldynamics.com/vie...ilit=invisible
and 'The Unknowable' http://forums.astraldynamics.com/vie...ilit=invisible