The Pioneer speakers have very good frequency response for their price - in my experience very smooth and sound good with music - they are obviously a good value. But they are not very sensitive and don't have a high maximum SPL (I've never seen a rating - just my experience). Many people that get them complain of a lack of dynamics and "punch" and are soon looking for something "more".
The BIC speakers with a horn loaded tweeter and "High efficiency output to 116dB" are much brighter in the high frequency and certain will play a lot louder - a completely different kind of speaker and will certainly have a much different "sound". Have you gone to listen to any speakers to see what kind of "sound" you like? Your time with Bose speakers isn't any help because nothing else sounds as bad as those do.
There are some general types and "sound" of speakers - but even these are subjective - figure out what kind of sound you like and listen to speakers with that type of "sound"
- high efficiency, horn loaded drivers (Klipsch, JBL, JTR)
- slightly bright, lively (Paradigm, Polk, Infinity, Focal)
- slightly warm, neutral (NHT, B&W, KEF)
- warm (Mordaunt-Short?, Sonus Faber?, Dynaudio?) never heard these so these are just what I've heard about
- planar (Martin Logan, Magnepan)
For theater only, most people tend toward the HE speakers with horn / compression drivers, for music only they tend toward the warmer / neutral speakers and for a mix of source material most (but of course not all) go in the middle somewhere.
Try to listen to some speakers locally so you know what "sound" you like before deciding on what speakers to get! If you cannot, there are some internet direct companies already mentioned where you can audition in-home. Another one I'd like to recommend is SVS http://www.svsound.com/