There are a few ways you can transfer files
1. You can use a flash drive
2. A memory card reader
3. You can also upload them to your email account using the attach file option, and then download them to your new computer. This option, though, is more time consuming especially if you have too many files to transfer.
If you are using a laptop, you have even more option
4. You can use a memory card, it does need to have Transflash so it can be attached to your laptop.
5. If both your laptop has bluetooth, you can just use that also. It's the easiest.
Hope this helps.