OK..I think I got good news for you...sorta. Basically, if you are just
trying to get files from your old computer to your new computer, the most
basic and most idiot proof method would be to use a USB thumbdrive in my
honest opinion, since you are not too familiar with firewalls and networks.
I am most likely sure that both your computers have USB ports so all you
need is an inexpensive thumbdrive. Just stick it in your old computer,
transfer the files in there, take it out, stick it in your other computer,
and transfer the files on the thumbdrive to your computer. Voila, that is
all there is to it.
The second method involves using a crossover cable. This basically
connects two computers together to share files without a need for a router
or switch. Check your local computer store to get more information about it.
The third method would be to to burn the files needed onto a CD,
provided that you have a CD burner and program like Nero or Roxio to work
with. This is a good method because a CD can hold almost 700MB of data and
they are inexpensive.
The fourth and final method I can think of to simply transfer files
from one computer to the other is using a floppy disk. Yes, you heard me
right, a floppy disk. I am not sure how big are the files you are
transferring but a floppy disk can only hold 1.44 MB of data, provided both
your computers also have a floppy drive.
I am not sure how your two computers are setup and if you have any routers
in place or what not but the first method I suggested with the thumbdrive
should serve you best.