I will caveat saying I've never comepted in powerlifting, so I am no powerlifter, but I still focus my training on getting as strong as I can on the Big 3. I manage to cut down from a chubby 207 to a leanish 185 (avatar for reference) by following some dietary advice from the DC crowd of reducing carbs after the midday meal, and upping my protein and veggie intake. I made gradual changes to my diet rather than one massive overhaul.
The first week, I stopped eating fast food (a major staple in my diet to get calories). The second week, I knocked out my daily 4 candy bars from the work snack bar. The third week I stopped eating greasy shit at the work cafeteria and stuck with salads and chicken breasts. The forth week I started exercising portion control for my home meals. It was after that when I started controlling my carb intake and focusing on nutritional timing. I shot for about 1lb of weight lost a week, to maintain strength and avoid number chasing on the scale. I didn't utilize a lot of cardio, just some heavy bag work on occasion.
I think jacking up my protein to compensate for my carb intake allowed me to continue making strength gains. I'm at an all time high for my bench and safety squat bar squats (300x5 and 390x5 respectively, both raw). However, training was BRUTAL for those first two weeks as I had to adjust to significantly fewer calories. When you're intaking 5-6000 calories a day of fast food and other shit, you're pretty indestructible, and recovery is rarely an issue. Operating on half of that is tough. However, I've adapted, and now my training is going better than ever.