Actually, I need a huge amount of computer advice

, but I'll limit my question to the current issue/need.
In preparation for installing a new computer (not here yet), I would like to remove files from this one and store them on CD. I have about 100 pics (which surprised me, they add up) and certainly don't want to try to save them to floppies, which is all I have in hardware.
Is there a recommended external CD writer that plugs into the USB that a dummy like me can configure and get this stuff on CD? And, will said writer be a good unit for the new computer to do the same so I don't fill it up with pics?
Or should I be looking at an external hard drive? Or both?
I can't go into the retail stores anymore. I will order online. Sources?
TIA, of course.