How do I transfer files from my old computer to my new computer?

If you are transferring only a few small files then flash drive will do the trick. If the files are many and large then you should use external hard drive or write your files to DVDs and then copy them to the new computer.

You can also connect your computers via crossover cable, router, or using Remote Desktop if they are both connected to the Internet.

For small files you can also email them to yourself or upload them to a file sharing host and download them from there.