It depends on how your body responds to certain foods.
Losing weight isn't rocket science.Cut calories and keep protein high so you don't lose that muscle(although you risk losing some on ANY diet).
I've been lean on high carb low calorie diets;I've been lean on low carb low calories diets.
See what works best for you.
Personally,I don't do well on low carb diets when I'm looking to cut after bulking or for the summer.I try to keep it moderate carb,low fat,high protein.When I really wanna get into great shape I make each meal consist of a lean source of protein,green veggies,and in the morning,some complex carbohydrates.
Carb cycling is good though.Do higher carbs on workout days and low carbs on nonworkout days.However,I think carb cycling would be your best bet.I've had great results when I did it once,but I didn't have much I wanted to lose to begin with,so your goals might be a little different than mine.
Make sure you keep your diet clean.Carb cyclign is the most effective when you want to get cut fast.