Hi,
Might want to RIP your favorite CD (or at least a few tracks) to a .WAV file at 44.1khz sample rate and play that from the laptop. This will give you a reference of what might be the best audio possible from that particular computer. With that, work out whether you use an optical out or the transformer isolation method, or new sound card etc.... Once you have this as a reference, then youll have a better reference for which internet streaming audio feed you prefer.
I've got a machine that has a CD drive in it that has an analog audio out that goes to the sound card, and it's audio is absolutely horrible. I discovered this when I had RIP'ed a CD and got used to what it sounded like playing from the .WAV file, then played the same thing from the CD drive and discovered the major difference. It is definitely the CD drive's D/A converter.
I agree with what's been provided above, having used Transformer coupled audio, USB external sound cards (USB-Pre) and also a card with ADAT Lightpipe and S/PDIF to external D/A devices all with good results. The right combination of things will show up with some experimentation.
Most of all, Have fun. Hopefully something in this post is useful.
Mike