If there's a way, I'd love to know, too. But I take it there's not, since no one has responded.
Whenever I open Finder (clicking on the icon in the dock) after relaunch or reboot, the window is tiny. It never remembers the size I had been using. I have to resize it, including the column widths and sidebar width, every single time. VERY annoying. This never happened pre-Mavericks. Previously, Finder kept these preferences, and used them every time you opened a new window, even after relaunch/reboot.
I tried a solution someone posted in another thread (deleting finder plist, etc.), but it didn't work. Perhaps it works with previous OS versions, but not Mavericks.
I strongly suggest everyone who is annoyed with this to submit feedback to Apple:
http://www.apple.com/feedback/macosx.html
Hopefully if enough of us complain, they'll finally fix this bug.