You can burn em with your burner of course. I haven't burned discs in so long that I can't remember what software I used to use, but there should still be open source, free software that can do exactly that.

If long-term, secure storage is your goal I'd go with redundant, error-correcting digital storage with off-site encrypted backups (don't forget the password!). A proper system like that will survive a tornado (because it's backed up off-site). A home-built RAIDZ2 NAS with one of many off-site backups will work very well. If you don't want to figure out how to build that system, you can also just buy a NAS with a similar level of functionality (I do still recommend RAIDZ2 with at least 6 disks, though).

Blu-rays will eventually degrade, either from scratches or a slow phenomenon where they get little holes in the foil. Even if you keep making copies, you'll run into this problem. Of course, data corruption can also occur for files on a computer, but that's why you use a strategy that keeps ~3 copies of each file around (basically what RAIDZ2 accomplishes) so that errors can be auto-corrected.

There are other benefits to a NAS as well. You can store your own backups of your other devices there as well and have them backed up off-site. You also have the option to share your blu-ray rips over your home network, basically running your own local streaming service.

If you want to share the love, so to speak, the bandwidth of a USB hard drive is actually pretty great.