it depends on what soundcard you got. If you have got a soundcard with AUX inputs on you should be able to hook it up with your hi-fi and use something like Sound Forge to record it in the pc.
If you have the right cables and accessories, I use Goldwave. It's free and it works great for this. You can reduce tape hiss and eq it quite nicely. www.goldwave.com
I run from my home stereo headphones out to the line in on my pc. Cool Edit does a great job of recording it with tons of filters to take out any noise .
VGB