There are a few issues with transferring information.
You can clone the drive.
http://clonezilla.org/downloads.php
However, this causes the new drive to have a partition setup exactly like the source (your 80GB drive) on the target (1TB). This means that your OS partition is 80GB and you effectively have 920GB "hiding". This is not a huge deal, as you can allocate that space to a secondary drive and use that as storage, etc. The downside is that you now have two drives configured on one physical. If the drive fails, you will lose both partitions.
In your situation, if you can install it as such, I would recommend just adding the new 1TB drive to the system and keeping the 80GB for Windows use completely. This allows you to separate your Windows installation and your data. What that means is, if you get a virus, you can wipe the 80GB Windows installation drive and not lose data from the 1TB drive. If the 80GB drive fails, you do not lose data. Buy a new drive, install Windows and then configure your system to your liking, data intact.
TL;DR - I would not install the 1TB drive as an OS drive. Add it to the system and use it for storage and backup.