It depends on the type of files that you want to copy, if they are simply the usual load of documents and saved stuff that we all accumulate then floppies can almost do if you have a lot of patience. However if you have bigger files to move then you will want to explore other avenues.
Do you have a digital camera or similar, or know someone who does, then you can use it as a temporary storage space to move files between machines as you usually have a decent amount of disk space on camera's or associated cards.
If you want to spend a little cash then you could buy a USB flash drive which you can use to transfer files at a later date too, or between home and work etc.
Try
http://www.crucial.com/uk/store/part...ODULE=CT64MBU1
or do a search in your usual tech supplier.
Use the features in Outlook/Outlook Express which will help you transfer your data between machines.