A satellite system usually describes a bookshelf/subwoofer combo, used instead of full range main speakers. It is usually referring to a 2 channel only system. There is a lot of debate on the use of full range vs. bookshelfs for the mains, with good points on either side. Personally, in a home...
No real model number type suggestions, except to say no one here at the HTF is going to talk you into the Bose. Bose is universally loathed for being overpriced, overhyped and poor performing compared to much less expensive alternatives. Any of the brand name speakers in your budget will...