You can't have the Home version with 2 years of updates, as the free registration period (updates) is 14 months, you then renew again free and get a further 14 months.
Did you pay for this, if so where ?
You can't transfer the program in this way as it has registry entries and files in the system folder as well and needs to be installed. Just download the latest version of avast Home at avast.com and save it to your HDD and copy to CD, etc.), somewhere you can find it again. Use that when you install on the new system.
Complete the
avast! 4 Home Registration form and you will receive an email from register @ avast.com (without the spaces) with your registration key.
Save the email and use this with your new system.