Hi
There are a few ways you can do it as follows;
1. Connect the two machines together. This can be done using a serial cable, or if you have a home network and both laptops have network cards you can plug each laptop into your home network and put a share on the C: Drive of the old laptop. This will allow the new laptop to see everything on the old laptop and from then on - you just copy the files as usual
2. Use a removable device - USB Pen Drive, MP3 Player(with USB Cable), Digital Camera (with USB Cable) Anyone of these will plug into a spare USB port on the old laptop
Basically - all these devices work like external drives so the old laptop will think it has a new external / removable drive. Drag the files across to the removable drive (you may need several trips depending on what capacity the external device has) Finally - plug the removable drive into the new laptop and drag the files from the removable drive onto the hard disk of the new laptop.
3. You could upload all your files to an on line dumping ground, but if you are able to connect to the Internet on both laptops, then you can just as easily connect em both together.
4. NOT FOR THE FAINT HEARTED THIS ONE - Open up your old laptop, remove the hard drive and then see if you can plug it into a spare port on the new one. This will mean opening up your nice shiny new laptop as well - so unless you REALLY know watcha doin' - Step Away From he Screwdriver.
Hope this helps