Simplest list I can suggest.........
Sound card (you already have).
Software (Free) Audacity click here
A suitable connection from your pickup/player to the Line In (green socket) on your sound card.
Audacity will allow some editing and make it fairly simple to erase any loud clicks. It will also allow you to save in several formats- wav etc.
One snag from my experience, is that my turntable signal needed a pre-amplifier, and this meant using the "whole works" and keeping the volume down low, to avoid overmodulation.