Preferably you would eat your vegetables whole. That said, if you're going to drink juice, vegetable (as opposed to fruit) is much better. The problem with it, though, is that you don't get the fiber that you would if you were eating it whole.
But again, if you drink a bit here and there, it's not an issue as far as fat loss is concerned.
You should try to stay away from sugar as much as possible. You should only consume sugar during your cheat meals which should be 1-2 per week once you begin phase II.