Speaker options
I would not recommend the 2 speaker Bose system, the Yamaha sound projector is a better option.
For better performance in your room, you should consider a 5.1 bookshelf speaker system like the following.
5.1 bookshelf speakers and sub: SVS ($1k), or Onix X-LS ($800)
Receiver: Yamaha RX-V659 or HTR-5960 ($3-400)
DVD Player: Oppo Digital ($150-220)
Also, like you suggested, you can connect an HDMI video source directly to the TV and digital audio to the receiver if you have a receiver without HDMI. An entry level receiver's main function is audio power and processing and the video features are secondary.