If you want to lose weight the best way to work out would be the way of bodybuilding.
You can simply use compound movements and do like 2-4 sets of 8-12 reps of each.
Workout whenever you feel all recovered.
The rest is all nutrition.
Don´t try the high rep crap, it won´t work. You could add a little cardio but that really isn´t necessary.
Take a look at some natural bodybuilders (know some of them german ones, fortunately). Their training doesn´t alter at all when losing weight. Also they don´t gain muscle during fat loss. But they lose fat fast as hell! So the best thing to do is to copy their training principles.
Have fun reaching your aims!