Well, I would first recommend buying your gear seperately. HTiB (home theater in a box) systems are garbage IMO. By a "set" of speakers, I assume you mean 5 or 7 speakers and a subwoofer? To get a complete home theater system in your price range, which is roughly $750 -1200 U.S., will be a little tight. If you can expand that budget, great! If not, here is one suggestion:
Start with either a Denon, Pioneer, Onkyo or Marantz receiver (which ever sounds best with your speakers) and a decent blu-ray player. You'll want to use decent inter connect cables, not the ones that come with your blu-ray player. Rockfish, Blue Jeans, Monster, Audio Quest all make great cables. Rockfish & Blue Jeans are probably the cheapest and just as good as any others. For speaker wire, the cheapest 12 awg you can get.
After getting started with this, you might want to add other source players later on.
Let me know if this helps. I suspect that there will be further discussion.
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What speakers do you have? If they are decent, you can build on them with these excellent sounding mini systems - if not, you may want to consider them with speakers (links on the bottom).