Thanks heaps mate, I already bought a HDMI > DVI cable last night and it didn't work. The screen (on the current monitor) went green, and that's about it. Now I'm looking to buy a monitor, something like this, a BenQ G2400WD. Seems like it has everything I need. It's also the cheapest HDMI compatible monitor there is to buy, apparently, or I would have gone with a 22".
Speakers, I'll just use the normal AV cables, and that's that problem solved.
The BenQ G2400WD is compatible with HDMI sound (built in speakers), and it has a 3.5mm minijack output for headphones. This works great for me! If you put 100 bucks in a headset it would match a great stereo.