When moving your system from the old place to the new one, you have noticed the difference that different acoustic spaces can make. This is a major part of how a system sounds, and many people do not pay enough attention to it. Generally speaking, a room that is acoustically live (i.e., reflects a lot of sound; e.g., like an empty room with an echo) is much worse than one that is more acoustically dead (reflects little sound). So hardwood floors are usually acoustically bad. There are exceptions to such general rules, but the main point is that the room matters a great deal.
As for your iPod, what you probably were doing was using highly compressed "lossy" files (i.e., files in which data is discarded) instead of lossless ones, and therefore a CD would be better, since it is not compressed with data thrown out. If you were listening to lossless files of the CD data on your iPod through a decent digital to analog converter, it should sound the same as a CD of the same mastering of the same music.
Now, speakers make a huge difference, and so better speakers will sound better.
As for the B&W 801, your amplifier should be able to drive it more than adequately. However, the rated claim for it is such that it can handle more power than your amplifier is rated to deliver. But the difference would a small loss of maximum volume, not likely to matter much.
What I recommend that you do is to go out to all of your local audio stores, with a CDR of all of the types of music to which you listen, and listen to as many different types of speakers (e.g., ribbon, horn, dome, whatever) as you can find, of as many brands as you can stand to audition, that are in your price point. Take your time and do not buy anything right away; a mistake can be costly. If none of them sound better TO YOU than what you have, don't bother. I would want something else, but you are not me, so that doesn't matter.
I recommend adding Magnepan to your list of speakers to audition, if you can find a dealer close enough. They are quite different from most speakers, so you may love them or hate them.