Live Chart has just given me this solution:
You can use a flash drive and move the installation kit onto the other laptop.
In case you encounter any difficulty, you can also try to download BullGuard directly from:
https://downloads.bullguard.com/BullGuard_100.exe (for 32-bit versions)
https://downloads.bullguard.com/BullGuard_100_x64.exe (for 64-bit versions).
Please make sure you download BullGuard from the links provided above, according to the operating system.
In order to find out what Operating System version you are using please do as follows:
Right-click on the My Computer icon on your Desktop and choose Properties.
It is 64-bit only if it explicitly states so.
Hope this helps someone else.
Wendy