The journals I have written since 2006 are all electronic. They would be huge if I ever printed them out, which I never will.

They don't take up much space and I'm not sure if I will still have them in a few years. I was looking back at one of them a couple of days ago and really liked reading what I had written and remembering an important experience. I like having them electronic because if I need to find something, I just search on a key word.
I kept journals also from when I was a girl up until my mid-20s. These were hard copy. I don't know what happened to these, but I hope no one ever finds them.
Melba, it sounds like burning might serve some sort of cleansing ritual for you, or a way to say good-bye to those old memories and resolved problems. I think if you are sure you don't want them, burning them sounds fine. I like the idea of burning rather than shredding.