Probably the simplest way would be to just copy the files on to a Flash Drive and use the drive to transfer the files to the new computer and save them to the required locations, however that is pretty labour intensive and could take some time if you are going to be saving lots of different files to different locations.
It would be much quicker if you can set up a small network with the old and new computers and then it would be much easier to move files from the old computer to the new one as you can send the folders containing files straight to any desired location on the new computer.
If you are not sure how to do that your local computer shop would be able to do it for you quite quickly and easily and it shouldn`t cost too much
Regards
Rob