I go jogging in the morning and it gives me energy for the whole day. But some of my friends prefer to exercise in the evening. It depends on you daily routine indeed.
it doesn't depend if you do your exercise to full or to empty stomach, just do the one which is better for you. I like to eat one banana before I go for a run. And you need to run like for 30minutes per day 6 times per week. So you can have one rest day. And after running do some push ups, pull ups, abbs and squats! That will help you:) and remember to eat healthy, your condition and weight losing depends a lot about what you eat. So eat good fats (avocado, nuts) and proteins! Don't eat much carbs. And if you can't run the whole 30minutes you can walk and run but then you need to do longer exercise like for 40-50minutes.