The Cuttlebug will accept all those dies. If you'll read your way through this whole thread, you should be able to find lots of information.
The Sizzix is older, heavier, and works as a press, not a roller system. But it works, with adapters.
The Quickutz punch system is not terribly useful IMO since all the new roller systems came out. But you can use those dies in a Cuttlebug. But they only cut cardstock and paper, not chipboard.