Here's what I did...
I got an old Macintosh external SCSI hard drive. (a buck at the salvation army store). Hooked it up to my pc, which already had a scsi port, and formatted it as a PC hard drive. Took it over to the Amiga & mounted it under CrossDos. Then I used transdisk to make ADF files of all my floppies onto the hard disk. For good measure, I did a zip of my Amiga's HDs as well. When all that was done - no simple task - I took the HD back over to the pc where I had a CD burner....
These days it might make more sense to invest in a USB card for the Amiga and just use a flash drive.