All you need to do is go to System Preferences > App Store and uncheck the automatic install of updates box, then download the Mavericks installer, and copy to a flash drive. You will need a flash drive of 8 G B or more since the installer is around 5.3 GB. The installer will be in Finder > Applications. You can then copy that flash drive installer to the Applications folders in all the Macs you have that are capable of running Mavericks, http://support.apple.com/kb/HT5842.
When the installer runs, the last step in the installtion is for the installer to erase itself. So makng a copy before the installer runs is essential if you want to avoid redownloading.
Installing from the same installer does not cause problems for Macs on the same network.