In my opinion, I'd like to print my family history research into a book or series of books to ensure it is noticed for what it is when I pass. If someone sees a laptop computer, they may take a quick glance at it for anything important then move on. If they find a stack or file of old papers, they may just trash it. If they see a hardcover book titled "The Smith Family History", I believe they are more likely to either keep it or find someone in the family interested in the family history.
You can find on-demand publishers that can print a hardcover book for relatively little money nowadays. I had my first one printed and for a 210 page book, you can have it in your hands for about $25.