|I guess you don't have a "burner"? (cd or dvd, either will work).|
Most ISP's offer some disk space for your homepage or etc... You might be able to upload the pics there then download them onto the new machine using ftp. Otherwise, google the "reader" by name/model number and see if you can find some manuals or instructions or advice. jefro is probably correct: the reader must have some device to write to unless it contains a hard drive or other internal mass-storage. Look for "ports" that will accept sticks etc. Or, just buy a usb stick and put them onto it (or them, depending on volume).