Thank you everyone!
After reading all the comments, doing a little more research about wattage and db and oHms I think the Pioneer is going to work just fine and is almost giving us the WOW factor. The JVC receiver we had was probably about ten years old and was an awesome 5.1 Dolby Digital receiver.
I just read the post about setting up the speakers per the Bose manual and will do that tomorrow. The Bose Acoustimass 600 system we have is the older version that does not have a powered subwoofer, just the passive subwoofer. I also found some more "settings" on the remote control that the lousy manual doesn't tell you about. I'm happy to hear the Pioneer has the power we need, we just need to continue tweaking.
Thanks everyone for your comments and advice. It educated me and now I don't have to box up the receiver and go through the hassle of returning it and getting another one. You made my husband a very happy man!