I prefer to run in the morning (been injured the last few weeks so not running at the moment) and do gym work-outs in the evening. I think this all depends on the individual and the intensity of their work-outs and how you normally digest. I find when my training gets more intense I have trouble digesting certain foods.
I probably should preface this by saying I am a long distance runner.
I rarely eat before I run, unless it's a long training run 8+ miles. I get queasy because the intensity of the work-out is harder during a shorter run. Long runs, I get up 90 minutes earlier to have toast with Peanut Butter. Carbs/Protein are good to eat and easibly digestable. Juice can be acidic and cause some reflux once you get your heart-rate up. I'm just speaking from my own experience. Juice could work for you.
Officially, I eat 6 times a day. Breakfast, mid-morning snack, Lunch, afternoon snack, snack before gym and then dinner. Sometimes dinner isn't until 8-9 when I get home from the gym and then I walk my dog to help digest before bed. My meals are small, but very well balanced. I tend to eat more carbs at night to help me store up for the morning run. This may not be the best plan, but it has worked for me for the last 5 years.
Have fun on your new eliptical!