Just use mostly compound lifts (squat, lunge, deadlift, presses, pullups, rows, etc...) and keep the weight challenging. Most people go lighter weight/higher rep when trying to cut. I've always found keeping reps between 4-12 during a bulk or cut worked best, my body responded more to my diet. It was always difficult to keep strength up while cutting, but the strength comes right back when I go back to a maintenance diet. You can do some higher rep/lower weight work, but I wouldn't go more than a week or two, use it more as a 'deload' and rotate back to heavier weights. Or go higher rep with a challenging weight, 12-15 reps should still be heavy enough to crap out between 12-15 reps.
Lots of options, main point is to keep the weight up!