Networking is the fastest way of transfering large amounts of GB of data.
Jump drive is a good suggestion also. I have 2 external drives.
Burning CD's or even better DVD-RW's is another method. I guess Zip disks or similar is another method (I also use.)
By default your LW files are saved here: C:\Documents and Settings\"your account name"\Shared
That's unless you changed the location. Another way is: Go to your LW Library window, select Saved Files folder & press the Explore button. Sample image here:
Using Library Explore button to access downld folder (click on link) & the folder will open up for you. You can move them to a desired location after that by cut & paste or drag & drop. Then move them by the techniques suggested earlier to the new machine.