I have been keeping my journal on the computer for over 10 years now. I am fortunate enough not to have to worry about privacy because my husband is so not the type to read my journals(Yeah, I did test him, many years ago; it would have been a deal-breaker for sure!).
My mother, a journaler herself, taught me the very best hiding place for things like journals, and money too: a big old Kotex box, shoved ever so casually in the back of your closet. NO guy'll go near it! This only works for men, however.