I try to loose BF as well but there is one meal I'm not that strict and that is pre workout, because this is the most important time to get carbs otherwise you will not be able to go for your best.
So even you're cutting I would eat more carbs pre workout some oats with fruits and maybe some raisins (great source of simple carbs and not as bad as sugar). Of course don't exaggerate but I would suggest to leave the eggs away and mix some oats with milk/yogurt and add some fruits so get enough energy for working out.
Best time to do cardio is 60-90min after the meal so the energy is available.
Hope that helped