Can anyone recommend a good, sturdy RSS feed reader for Linux?  I have well over 100 feeds.  Integration/sync with Google reader would be nice.

I don't use KDE apps much but people seem to like Akregator.
http://userbase.kde.org/Akregator

You could also use Brief, a FF extension.
https://addons.mozilla.org/en-US/firefox/addon/brief/
If you use FF then Brief is handy.

Great tips littleman, thanks.  Both look great.

I'm experimenting with Feedly:
https://addons.mozilla.org/en-US/firefox/addon/feedly/

I mostly use Opera as a browser, but there is nothing stopping me from using FF as my feed reader. I might actually get around to reading them more often this way.