Don't throw your money away on a new CD player, or worse a SACD player ( I know that this is sacrilidge but, let's be honest, SACD is a dead horse no matter how much better you think it is audiowise).
Put your music on a computer, either a powerbook or a mini MAC, and get a DAC from here:
http://www.wavelengthaudio.com/
If you don't use compression when putting your music onto your computer it will be just as good as the original CD.
The CD players will be seen in the near future as we see cassette decks now. Something that used to be our favorites but, are now thrown aside. And on the digital side of audio, the future is already here.
As to your willingness to buy both a CD player and a SACD player so that you can have a "analog" sound for your classical music. Someone has been blowing smoke up your skirt. SACD is not analog sounding, no matter how many times Sony tried to sell the idea. Sometimes, on some SACD's, it is sometimes better sounding than CD's. There is one thing that isn't sometime though, you get to always pay more for the SACD for the privalige of hoping that it might sound marginally better.
If you are willing to buy two players and new software for your Classical music. And, you want analog sound. Then make the second purchase exactly that, analog. I won't get into the ridiculous debate of which formate sounds better because they are both good. Some CDs are better than some records, and vice versa. But, and this is a huge but, vinyl is more fun than digital. Now why would you want two digital formats when you can have a second format that is a whole different experience in both equipment, software, listening, and did I mention that vinyl is twice as much fun as digital. You get stuff to tinker with, you get software that is actually fun to hold, you get real album covers and album art, and did I mention that vinyl is ten times more fun than digital? Just so some digital only nerd doesn't jump on the thread, yes, vinyl sometimes has surface noise, sometimes it needs to be cleaned but, did I mention that vinyl collecting and playing is 100 times more fun than digital?
So, no CD player. Buy into the future, get a DAC that can be used with your computer and start loading up all that music you own. It will give your kids something to keep busy doing while they talk on the phone. Then, for when you want to have fun, as well as listen to music, get a record player.