If you are already syncing your Windows sticky notes with the cloud, then you don't have to worry about transferring data. You can simply install Notezilla on your new computer, right click on Notezilla icon, choose Sync and sign into your existing Notezilla.Net account to download all your notes.
If you are not using cloud, then you can first create a Notezilla.Net account from Notezilla (Right click on Notezilla icon and choose Sync). This will transfer all your notes to the cloud. After which you can simply install Notezilla on your new computer, right click on Notezilla icon, choose Sync and sign into your existing Notezilla.Net account to download all your notes.
You can watch this short video for more clarity on this feature:
VIDEO
If you had created a Notezilla.Net acccount earlier, which has expired now, you can renew your subscription by purchasing the cloud version of Notezilla from here: http://www.conceptworld.com/Notezilla/BuyNow
If you do not wish to use cloud to transfer your notes, then you can refer this article to learn how to transfer your data from one computer to another: http://www.conceptworld.com/blog/index.php/moving-sticky-notes-from-old-computer-to-a-new-computer-on-windows/