I quit using a CD player altogether. I have (but don't use) a Rotel RCD-1082. I was thinking of upgrading, at that time I considered the 390S, but instead decided to jump into computer audio. To me it was a matter of whether computer audio had advanced enough already. I took one of the easiest/safest routes: bought a Squeezebox Touch a year ago and have not used the CD player since. Don't be deceived by the small price, it's a good unit.
My take: computer audio is evolving very fast and doesn't make sense yet to stretch much economically. Whatever you buy will be obsolete in 5 years, so don't go overboard spending there. CD, on the other hand, is becoming mature and if you want to stick with it you are probably safe buying an excellent and reliable CD player now.
Of course, that's MY take on things. I hope it helps.