The software that you mentioned was designed to run on Windows 95 or Windows 98. Due to the fact that you are using it on your computer with Windows Vista, it might be possible to run it on Windows 8. However, probably you need to install and run it using compatibility features. To learn more about it, visit the following website.
In order to transfer the program to your new computer, you need to install it, it is not advised to just copy its files. After you installed the software, you can transfer your data using a USB drive or a CD and open it on your new computer.