I throw a lot of shit into my juicer. Kale, celery, carrots, apples, beets, grapefruit, blueberries. You can do whatever you can handle taste/texture wise (carrots for example don't break down fully in my juice, minor difference). If I'm not digging the taste (not too picky here), I'll just throw in extra blueberries. Always does the trick.
I don't like storing juice. You can do it though. You'll just have to stir it up because all the solid will gather at the top.