I have no games.
lol
All Mail deleted.
Delete any apps that are taking a lot of space. MS Office and any high end games (diablo III, etc) take a bit of space. Also, delete your trash in mail.
If your reinstalling Mavericks, go into repair/restore at boot and just erase the partition and/or reformat it. It should get mavericks via the internet after that (unless you have it on a USB stick). Believe its Option + R or Command + R when you boot up the mac.