Here is what I would do as far as lifting while cutting.
Day 1(Monday)
Decline Situps- 2 sets 20 reps(add weight as needed)
Pullups-1 set 6-8 reps(add weight as needed), 75 sec rest
Dumbell Incline Press-1 set 6-8 reps, 75 sec rest
Pullups-1 set 6-8 reps, 75 sec rest
Dumbell Incline Press-1 set 6-8 reps, 2 min rest
Dumbell Row-1 set 6-8 reps(20 sec rest between arms),75sec rest
Dips-1 set 6-8 reps(add weight ass needed), 75 sec rest
Dumbell Row- 1 set 6-8 reps, 75 sec rest
Dips-1 set 6-8 reps, 2 min rest
Lower Back Hyperextensions-2 sets 8-10 reps(add weight)
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Day 2(Thursday)
Hack Squat-1 set 20 reps, 90 sec rest
Leg Curl-1 set 8 reps, 75 sec rest
Hack Squat-1 set 20 reps, 90 sec rest
Leg Curl-1 set 8 reps, 75 sec rest
Standing or seated Calves-3x20, 75 sec rest between, 2 min rest
Dumbell Side Raises- 2x8-12 reps, 60 sec rest between
Standing Barbell Curl-1 set to failure, 60 sec rest
Tricep Pushdowns-1 set to failure
And on my other days I would alternate low, moderate, and high intensity cardio sessions.