Most reviewers (and users presumably) seem to prefer Day One. I don't like the way it displays entries and especially images, but if you don't mind that, it seems to be a very solid app. One advantage of Day One is that it has been around for a while and seems to be very popular, which means there is a good chance that the app will still be around for a while. This is important since a journal is something you are supposed to want to look back on in the future. This is why it's important to me that Awesome Notes syncs to Evernote, because I have more faith in the longevity of Evernote than that of Awesome note. But of course you never know, and it's probably safer to save your journal to a commonly used format once in a while. Day One can export to PDF. I have to confess I don't know how I would export my Evernote journal. I need to look that up. The latest version of Awesome Notes can export to PDF too, but I haven't tried it.
Here are a couple of links to articles about Day One:
http://www.engadget.com/2014/10/25/irl-day-one/
http://thesweetsetup.com/apps/the-ve...g-logging-app/
I tried, and failed, to find another article that I read when I was researching journaling apps. It explained how the author managed both her Day One journal and her paper diary. From what I remember, she had a system where she kept an index in her paper notebook, and I think she posted the index reference of each paper journal entry in Day One. I like my method better, obviously