The integrated amp is your control center, so to get sound, all you'll need is speakers. The problem with recommendations on speakers is that everyone 'hears' differently, and what one person loves another person hates. $300-500 can get you some really nice speakers, although the decision making will take time. Step one is determine what you need physically - do they have to fit in a certain place, things like that, and then go to a few stores, preferably with some CD's that you're familiar with, (most stores won't have turntables). Time invested on your part listening is repaid in satisfaction after the purchase.
There are a lot of Internet Direct speaker makers as well, most of whom offer in-home trials of 30-45 days. That depends on your comfort level with ordering something you can't hear first.
Just to be sure, do you know what kind of hook ups the amplifier has for speakers? Does it look like two bare wires from each speaker attaches to screw terminals, or does the amp have single 'holes' where you'd plug something in?