Just copy the data from the floppy disks to the computer as temporary storage.
Then copy over to a flash drive. since you have no workable CD drive it would seem copying to CD is out of the question unless you either replace that drive or purchase a USB CD drive.
I have a very old computer that I ony use for data, the CD drive does not work, but the 3 1/2" drive does. I have all my data backed up on 3 1/2" drives and want to convert them to CD/DVD'S/FlashDrives. What device do I need to do this?