Archive.org, bitsavers.org, etc will all have to be converted too. I say take it upon yourself to preserve whatever it is you deem worthy and make a plan and prepare for how it will be maintained after you're gone. Family, computer, documents, whatever. Don't rely on someone else to do it for you.
This was an interesting topic when I was at Science magazine: How to preserve the archives. Everyone wants to get your paper archives, rip them up, "scan them" and store them. However our first vendor who had only the digital stuff we made in the 1980's onward went and had a "hard disk failure" in their RAID drive that wasn't detected for years. Turns out all the thumbnails were all that was left; fortunately we still had the backup tapes but those easily could have been tossed.
Now I'm sure the "Google project" archived all the paper stuff but Google will eventually go away just like Jeeves, MySpace, Yahoo Groups, and so forth. Or they may forget and "lose" them in which case the data is gone forever.
But what do you store it on? Big optical laserdiscs (80's)? Those had bit rot after 20 years or so. Magtape? Sure, find the 7 track tapes from Apollo and find a 7 track tape reader. Taravan/QIC02/Exabyte Monster/Contemporary Cybernetics 8505? Good luck finding a working unit and if you took advantage of hardware compression you'd better have the module....
Best way to store? Paper. I recommended putting everything on baked tablets and burying it in the center of a desert, they didn't go that way but it's a valuable option. Well, until someone digs it up, puts it in the "National Museum" and ISIS/Taliban/the usual book burning bastards burns the place down....
C