What is the voltage of the netbook battery?
You would want to use a switching regulator for maximum battery life.
You simply wire the battery to regulator input, and the regulator output to the netbook battery terminals and LCD power terminals with whatever connectors seem physically appropriate for the setup. There's nothing critical about either the wire or the connectors you use. The wire should be 18AWG or larger. (You could use zip cord, for example, with the small power connectors typically used on laptops, etc.)
How will you charge the battery?