Two tips I can pass on.
First is to multi-task. Apply BP then make lunch, make bed etc. Apply moisturiser and eat breakfast, pack school bag blah blah. So in otherwords, while you're waiting for each stage to dry or absorb, make sure you're doing something else in your morning routine.
My second tip is with the moisturiser. I used to find that if I applied two full pumps in one go it would take forever to rub it in. But if I apply one pump, move it around until its almost fully absorbed then go do something else for five mins and then come back and apply a second pump, the second pump absorbs heaps faster.
As for the question if you can use a different moisturiser, the answer is yes. As for using less moisturiser, if you're applying the full amount of BP then I would advise not to reduce the mosturiser level.