There are two ways that I think you would most prosper from. Cheapest way would be to buy a 6.35mm jack cable to a 3.5mm to connect your amp to the line in on your soundcard, then (personaly I would download) get a recording interface/program. However, this all depends on your amp having line out. Another way to record the sound from your amp would be to, buy a budget-dependable mic( doesn't have to be the famous SM-57) and stick that in your soundcard, and then get a program to record.