None of the originals -- or even 2nd or 3rd generation copies -- of any ancient or classical era literature have survived to the present day. What kept the works from being lost is that there were lots of scribes making lots of copies, and spreading them around. People did this because they thought they were good, so they went to the expense of having a copy made.
For your pictures and videos, even if you're not thinking of keeping them around for thousands of years, do the same thing: Make copies and spread them around to people who want copies. Convert them to different formats, too (Try to keep some high-quality, non-DRM copies for the next format as well). Don't just think in terms of having a monolithic collection (like the Library at Alexandria) either. You want each grandparent, aunt and cousin to be helping you to curate a distributed cloud of record.
The "obvious" tool here would be The Cloud -- but be careful. None of Google, Yahoo!, Amazon, or Facebook really cares about your pictures; they care about the revenue they can make by keeping a relationship with you. They're kindof like ancient scribes. Let them help you with the making of the copies, but don't let any of them (or any subset of them) keep your only copy for very long.
I think that turning off the Internet is pretty much an admission that regime change is inevitable. A legitimate sovereign power can enforce its laws without completely blocking everything.
You might as well suggest that ballot boxes are dead tools because they haven't been used in Egypt in a few decades... but they aren't, and they'll probably be used again very soon.
Do any of us know?
Sure, we can name a few (or some of us a few dozen...) but aren't there a hundred or so we didn't think of?
I was thinking that, too.
The oldest computer I have around is a 1990 Amiga 500; I mostly use new kit, of course. Anyone who gets an implant is going to be stuck with it pretty much for life, or commit to brain surgery every 3-5 years to install the newer one.
On the other hand, a 'trode net or hat would seem doable; sign me up for that.
At the source of every error which is blamed on the computer you will find at least two human errors, including the error of blaming it on the computer.