Im thinking of getting a Toshiba Qosmio laptop, but do I have to use the same Antivirus for the new computer using the same network? i have Bitdefender 2010, so do i have to install the same on the laptop too?

You can use the same antivirus or another one (as you want).

P.S. As I know BitDefender’s license allows to install it on 3 PC.