Depends on what you mean by 3 day split. If you are hitting the whole body at least 2 x a week then that would be fine. Obviously HST as outlined in this thread would probably be better, and lifting more frequently will increase the amount of calories burned. With this layout, you'll be keeping protein synthesis raised for a longer period in all muscle groups than you would on a typical split. That means that more of the weight you lose will be fat, rather than losing more lean mass.
For your routine, if your goal is to cut and maintain muscle, you need to simplify it a bit to focus on multi joint exercises that will provide as much overlap as possible. So drop the curls and pushdowns, arms get plenty of stimulus from back and chest exercises when on a cut. Add in some kind of rowing movement or rack pulls to get better back coverage. You need something for ham strings as well. You don't need to do calves on a cut either, they aren't going to grow anyway and they get enough stimulus from quad exercises, cardio and daily walking to maintain.
Flat Bench
Rack pull or some kind of row (bentover or cable)
Lat Pulldown
Military Press
Leg Press or Squat
SLDL
That should be plenty to maintain. Don't worry, arms and calves won't shrink aside from what's normal from less glycogen storage, etc. If you do this routine three or four times a week, then do cardio only 2-3 times a week. You'll need to manage leg volume for lifts around cardio. If cardio is compromising your leg exercises, then you would want to cut back cardio first. Cardio won't maintain quad/ham mass as well as doing leg press and sldl will.
For your routine, if your goal is to cut and maintain muscle, you need to simplify it a bit to focus on multi joint exercises that will provide as much overlap as possible. So drop the curls and pushdowns, arms get plenty of stimulus from back and chest exercises when on a cut. Add in some kind of rowing movement or rack pulls to get better back coverage. You need something for ham strings as well. You don't need to do calves on a cut either, they aren't going to grow anyway and they get enough stimulus from quad exercises, cardio and daily walking to maintain.
Flat Bench
Rack pull or some kind of row (bentover or cable)
Lat Pulldown
Military Press
Leg Press or Squat
SLDL
That should be plenty to maintain. Don't worry, arms and calves won't shrink aside from what's normal from less glycogen storage, etc. If you do this routine three or four times a week, then do cardio only 2-3 times a week. You'll need to manage leg volume for lifts around cardio. If cardio is compromising your leg exercises, then you would want to cut back cardio first. Cardio won't maintain quad/ham mass as well as doing leg press and sldl will.