Track what you're eating and be completely honest with yourself, you'll struggle to get your body fat down if you don't have at least a rough idea of how much you're eating every day. That way you can start to be more calculated in your nutrition approach as you'll have a baseline from which you can manipulate your macros and calories. Pretty soon you should be able to eyeball your plate of food and tell if you're eating approximately the right amount for your nutrition approach.
You'd probably have more success maintaining your strength if you continue to lift heavy. In fact I consider lifting heavy vital to maintaining strength while dieting down. When you're in caloric deficit however you will have days where you feel very weak (i.e. miss your rep target) due to diminishing muscle glycogen stores but don't be disheartened, stay determined and be consistent with both your lifting and nutrition and you'll get there.
Depending on your body fat levels it might be worth adding in periodic refeeds to top up your muscle glycogen stores. I wouldn't even bother with refeeds however if your body fat exceeds 10-12%.
All the best and good luck!