The basic idea here would be to scan your image and then use the software to create a new layer on the file where you trace over the graphic. The company that produces the decks will have some type of guidelines which will determine exactly which method you do this with, but thats the general idea. From there, all you need to do is type exactly what you're doing into Google or Youtube and you'll get a million helpful tutorials. For example, "How to turn drawing into vector image using Adobe Illustrator"...The internet is better than any school I've attended.
As for software and a computer, you can probably get by running a $400 Acer or something along those lines and signing up for the Adobe Creative Cloud, which allows you to access their software for a monthly fee (think Netflix), instead of dropping thousands on all of it. There are always Torrents too, but the Creative Cloud option is pretty affordable and you don't risk dealing with viruses.
Good luck!!