Yeah you can use the internal storage and if you still wanted to copy the games across you can always do it over the internet (or LAN). I think Steam does have a built in way to do this now as well or you can just send it yourself as a file with rsync or what ever tool you feel like copy/pasting with.

You could also store your games on a NAS if you hate yourself (read/write performance will be pretty bad and result in a poor experience for most games)